Math / Numbers & Operations

Question2. A bike shop is offering a $20 \%$ discount on all items. a) What is the discount on a $€ 500$ bike? b) How much do I need to pay to buy the bike? Simplifying
3. Chocolate makes $40 \%$ of the total weight of cookies. A packet of cookies weighs 120 g . What is the weight of chocolate in 5 packets?
4. A gardening company says that from a packet 70 seeds, 50 seeds will grow. What percentage of the seeds that will grow?
5. Miguel needs 25 g of protein in a day. A sushi plate has $60 \%$ of the protein he needs. How many grams of protein are there in the plate?

Studdy Solution

STEP 1

What is this asking? We're figuring out discounts, cookie weights, seed growth percentages, and protein amounts! Watch out! Don't mix up discounts with final prices, and make sure to read if the question is about one item or several!

STEP 2

1. Bike Discount
2. Bike Price
3. Chocolate Weight
4. Seed Percentage
5. Sushi Protein

STEP 3

We're given a 20% discount on a bike that originally costs €500.
To find the discount amount, we multiply the original price by the discount percentage.
It's like finding a part of a whole!

STEP 4

$\text{Discount} = 0.20 \cdot €500 = €100$ So, the discount is €100!

STEP 5

Now, we need to find the final price after the discount.
We do this by subtracting the discount from the original price.

STEP 6

$\text{Final Price} = \text{Original Price} - \text{Discount}$ $\text{Final Price} = €500 - €100 = €400$ The final price of the bike is €400!

STEP 7

First, let's find the weight of chocolate in one packet of cookies.
The packet weighs 120g, and chocolate makes up 40% of that weight.

STEP 8

$\text{Chocolate Weight (1 packet)} = 0.40 \cdot 120\text{g} = 48\text{g}$ One packet has 48g of chocolate.

STEP 9

Now, we want the chocolate weight in five packets.
We simply multiply the chocolate weight in one packet by five!

STEP 10

$\text{Chocolate Weight (5 packets)} = 5 \cdot 48\text{g} = 240\text{g}$ Five packets contain 240g of chocolate!

STEP 11

We have 70 seeds total, and 50 are expected to grow.
We want to find the percentage of seeds that will grow.
We can think of this as a fraction, where the part is the number of seeds that grow, and the whole is the total number of seeds.
Then, we multiply by 100% to express it as a percentage.

STEP 12

$\text{Percentage} = \frac{\text{Number of Seeds that Grow}}{\text{Total Number of Seeds}} \cdot 100\%$ $\text{Percentage} = \frac{50}{70} \cdot 100\% \approx 71.43\%$ Approximately 71.43% of the seeds will grow.

STEP 13

Miguel needs 25g of protein daily.
The sushi plate has 60% of his daily protein needs.
We multiply his daily protein need by the percentage provided by the sushi to find out how much protein is in the sushi.

STEP 14

$\text{Sushi Protein} = 0.60 \cdot 25\text{g} = 15\text{g}$ The sushi plate has 15g of protein.

STEP 15

a) The discount on the bike is €100. b) The final price of the bike is €400. The five cookie packets contain 240g of chocolate.
About 71.43% of the seeds will grow.
The sushi plate has 15g of protein.

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Studdy Solution

STEP 1

What is this asking? We're figuring out discounts, cookie weights, seed growth percentages, and protein amounts! Watch out! Don't mix up discounts with final prices, and make sure to read if the question is about one item or several!

STEP 2

1. Bike Discount
2. Bike Price
3. Chocolate Weight
4. Seed Percentage
5. Sushi Protein

STEP 3

We're given a 20% discount on a bike that originally costs €500.
To find the discount amount, we multiply the original price by the discount percentage.
It's like finding a part of a whole!

STEP 4

$\text{Discount} = 0.20 \cdot €500 = €100$ So, the discount is €100!

STEP 5

Now, we need to find the final price after the discount.
We do this by subtracting the discount from the original price.

STEP 6

$\text{Final Price} = \text{Original Price} - \text{Discount}$ $\text{Final Price} = €500 - €100 = €400$ The final price of the bike is €400!

STEP 7

First, let's find the weight of chocolate in one packet of cookies.
The packet weighs 120g, and chocolate makes up 40% of that weight.

STEP 8

$\text{Chocolate Weight (1 packet)} = 0.40 \cdot 120\text{g} = 48\text{g}$ One packet has 48g of chocolate.

STEP 9

Now, we want the chocolate weight in five packets.
We simply multiply the chocolate weight in one packet by five!

STEP 10

$\text{Chocolate Weight (5 packets)} = 5 \cdot 48\text{g} = 240\text{g}$ Five packets contain 240g of chocolate!

STEP 11

We have 70 seeds total, and 50 are expected to grow.
We want to find the percentage of seeds that will grow.
We can think of this as a fraction, where the part is the number of seeds that grow, and the whole is the total number of seeds.
Then, we multiply by 100% to express it as a percentage.

STEP 12

$\text{Percentage} = \frac{\text{Number of Seeds that Grow}}{\text{Total Number of Seeds}} \cdot 100\%$ $\text{Percentage} = \frac{50}{70} \cdot 100\% \approx 71.43\%$ Approximately 71.43% of the seeds will grow.

STEP 13

Miguel needs 25g of protein daily.
The sushi plate has 60% of his daily protein needs.
We multiply his daily protein need by the percentage provided by the sushi to find out how much protein is in the sushi.

STEP 14

$\text{Sushi Protein} = 0.60 \cdot 25\text{g} = 15\text{g}$ The sushi plate has 15g of protein.

STEP 15

a) The discount on the bike is €100. b) The final price of the bike is €400. The five cookie packets contain 240g of chocolate.
About 71.43% of the seeds will grow.
The sushi plate has 15g of protein.

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Studdy Solution

STEP 1

What is this asking? We're figuring out discounts, cookie weights, seed growth percentages, and protein amounts! Watch out! Don't mix up discounts with final prices, and make sure to read if the question is about one item or several!

STEP 2

1. Bike Discount2. Bike Price3. Chocolate Weight4. Seed Percentage5. Sushi Protein

STEP 3

We're given a **20% discount** on a bike that originally costs **€500**.To find the discount amount, we multiply the original price by the discount percentage.It's like finding a part of a whole!

STEP 4

Discount=0.20⋅€500=€100\text{Discount} = 0.20 \cdot €500 = €100Discount=0.20⋅€500=€100 So, the discount is **€100**!

STEP 5

Now, we need to find the final price after the discount.We do this by subtracting the discount from the original price.

STEP 6

Final Price=Original Price−Discount\text{Final Price} = \text{Original Price} - \text{Discount}Final Price=Original Price−Discount Final Price=€500−€100=€400\text{Final Price} = €500 - €100 = €400Final Price=€500−€100=€400 The final price of the bike is **€400**!

STEP 7

First, let's find the weight of chocolate in *one* packet of cookies.The packet weighs **120g**, and chocolate makes up **40%** of that weight.

STEP 8

Chocolate Weight (1 packet)=0.40⋅120g=48g\text{Chocolate Weight (1 packet)} = 0.40 \cdot 120\text{g} = 48\text{g}Chocolate Weight (1 packet)=0.40⋅120g=48g One packet has **48g** of chocolate.

STEP 9

Now, we want the chocolate weight in *five* packets.We simply multiply the chocolate weight in one packet by five!

STEP 10

Chocolate Weight (5 packets)=5⋅48g=240g\text{Chocolate Weight (5 packets)} = 5 \cdot 48\text{g} = 240\text{g}Chocolate Weight (5 packets)=5⋅48g=240g Five packets contain **240g** of chocolate!

STEP 11

We have **70** seeds total, and **50** are expected to grow.We want to find the percentage of seeds that will grow.We can think of this as a fraction, where the part is the number of seeds that grow, and the whole is the total number of seeds.Then, we multiply by 100% to express it as a percentage.

STEP 12

STEP 13

Miguel needs **25g** of protein daily.The sushi plate has **60%** of his daily protein needs.We multiply his daily protein need by the percentage provided by the sushi to find out how much protein is in the sushi.

STEP 14

Sushi Protein=0.60⋅25g=15g\text{Sushi Protein} = 0.60 \cdot 25\text{g} = 15\text{g}Sushi Protein=0.60⋅25g=15g The sushi plate has **15g** of protein.

STEP 15

a) The discount on the bike is **€100**. b) The final price of the bike is **€400**. The five cookie packets contain **240g** of chocolate.About **71.43%** of the seeds will grow.The sushi plate has **15g** of protein.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Bike Discount
2. Bike Price
3. Chocolate Weight
4. Seed Percentage
5. Sushi Protein

We're given a 20% discount on a bike that originally costs €500.
To find the discount amount, we multiply the original price by the discount percentage.
It's like finding a part of a whole!

$\text{Discount} = 0.20 \cdot €500 = €100$ So, the discount is €100!

Now, we need to find the final price after the discount.
We do this by subtracting the discount from the original price.

$\text{Final Price} = \text{Original Price} - \text{Discount}$ $\text{Final Price} = €500 - €100 = €400$ The final price of the bike is €400!

First, let's find the weight of chocolate in one packet of cookies.
The packet weighs 120g, and chocolate makes up 40% of that weight.

$\text{Chocolate Weight (1 packet)} = 0.40 \cdot 120\text{g} = 48\text{g}$ One packet has 48g of chocolate.

Now, we want the chocolate weight in five packets.
We simply multiply the chocolate weight in one packet by five!

$\text{Chocolate Weight (5 packets)} = 5 \cdot 48\text{g} = 240\text{g}$ Five packets contain 240g of chocolate!

We have 70 seeds total, and 50 are expected to grow.
We want to find the percentage of seeds that will grow.
We can think of this as a fraction, where the part is the number of seeds that grow, and the whole is the total number of seeds.
Then, we multiply by 100% to express it as a percentage.

Miguel needs 25g of protein daily.
The sushi plate has 60% of his daily protein needs.
We multiply his daily protein need by the percentage provided by the sushi to find out how much protein is in the sushi.

$\text{Sushi Protein} = 0.60 \cdot 25\text{g} = 15\text{g}$ The sushi plate has 15g of protein.

a) The discount on the bike is €100. b) The final price of the bike is €400. The five cookie packets contain 240g of chocolate.
About 71.43% of the seeds will grow.
The sushi plate has 15g of protein.