Math  /  Numbers & Operations

Question2. At grocery Store A, 5 cans of baked beans cost $3.45\$ 3.45. At grocery 5 tore B,7\mathrm{B}, 7 cans of bake beans cost $5.15\$ 5.15. At grocery Store C, 4 cans of baked beans cost $2.46\$ 2.46. At grocery Stoman 6 cans of baked beans cost $4.00\$ 4.00. How much money would you save th you bought 20 cat of baked beans from grocery store C than if you bought 20 cans of baked beans from groce store A? (A) $175\$ 175 (b) $1.25\$ 1.25 (c) $1.50\$ 1.50 (1) 95

Studdy Solution

STEP 1

What is this asking? We need to find the price difference between buying 20 cans of beans at Store A and 20 cans at Store C. Watch out! Don't mix up the stores!
We're comparing Store A and Store C, not B or any other store.
Also, make sure to calculate the price for **20** cans, not some other quantity.

STEP 2

1. Calculate the price per can at Store A.
2. Calculate the price per can at Store C.
3. Calculate the price of 20 cans at Store A.
4. Calculate the price of 20 cans at Store C.
5. Calculate the difference in price.

STEP 3

At Store A, 5 cans cost $3.45\$3.45.
To find the price of **one** can, we **divide** the total price by the number of cans.
We're doing this because we want to find the price of a single unit, and division gives us exactly that!

STEP 4

$3.455 cans=$0.69 per can \frac{\$3.45}{5 \text{ cans}} = \$0.69 \text{ per can} So, each can at Store A costs **\$0.69**.

STEP 5

At Store C, 4 cans cost $2.46\$2.46.
Just like before, we'll **divide** the total price by the number of cans to find the price per can.
This allows us to compare prices directly!

STEP 6

$2.464 cans=$0.615 per can \frac{\$2.46}{4 \text{ cans}} = \$0.615 \text{ per can} Each can at Store C costs **\$0.615**.

STEP 7

We know each can at Store A costs **\$0.69**.
To find the price of 20 cans, we **multiply** the price per can by the number of cans.
This scales up the price from a single can to the desired quantity!

STEP 8

$0.6920=$13.80 \$0.69 \cdot 20 = \$13.80 20 cans at Store A cost **\$13.80**.

STEP 9

We know each can at Store C costs **\$0.615**.
We'll **multiply** this by 20 to find the total cost for 20 cans.
This is the same idea as before - scaling up from the unit price!

STEP 10

$0.61520=$12.30 \$0.615 \cdot 20 = \$12.30 20 cans at Store C cost **\$12.30**.

STEP 11

To find how much we save by buying at Store C, we **subtract** the price at Store C from the price at Store A.
This gives us the difference, which represents the savings!

STEP 12

$13.80$12.30=$1.50 \$13.80 - \$12.30 = \$1.50 We save **\$1.50** by buying at Store C!

STEP 13

We would save $1.50\$1.50 by buying 20 cans of baked beans at Store C instead of Store A.
The answer is (c).

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