Math / Numbers & Operations

QuestionThere are 30 boys in 6th grade. The number of girls in 6th grade is 40 . Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer? You can earn 5 coins
Correct Ratio $10: 20$ 3:4 3:7

Studdy Solution

STEP 1

What is this asking? We need to check if Abigail's ratio of boys to girls is right, and if not, find the correct ratio. Watch out! Don't mix up the order – it's boys to girls, not girls to boys!
Also, make sure to simplify the ratio to its lowest form.

STEP 2

1. Check Abigail's Answer
2. Calculate the Correct Ratio
3. Simplify the Ratio

STEP 3

Abigail says the ratio is 4:3.
This means for every 4 boys, there are 3 girls.
But we know there are more girls than boys!
So, Abigail is definitely wrong.

STEP 4

We're given that there are $\text{30}$ boys and $\text{40}$ girls.
The problem asks for the ratio of boys to girls.
So, our initial ratio is $\text{30:40}$ .

STEP 5

To simplify a ratio, we find the greatest common divisor (GCD) of both numbers.
The GCD of $\text{30}$ and $\text{40}$ is $\text{10}$ .

STEP 6

Now, we divide both parts of the ratio by the GCD.
So, we divide $\text{30}$ by $\text{10}$ which gives us $30 \div 10 = 3$ .
And we divide $\text{40}$ by $\text{10}$ which gives us $40 \div 10 = 4$ .

STEP 7

Our simplified ratio is $\text{3:4}$ .
This means for every 3 boys, there are 4 girls.

STEP 8

The correct ratio of boys to girls is $\text{3:4}$ .
Abigail is incorrect.

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Studdy Solution

STEP 1

What is this asking? We need to check if Abigail's ratio of boys to girls is right, and if not, find the correct ratio. Watch out! Don't mix up the order – it's boys to girls, not girls to boys!
Also, make sure to simplify the ratio to its lowest form.

STEP 2

1. Check Abigail's Answer
2. Calculate the Correct Ratio
3. Simplify the Ratio

STEP 3

Abigail says the ratio is 4:3.
This means for every 4 boys, there are 3 girls.
But we know there are more girls than boys!
So, Abigail is definitely wrong.

STEP 4

We're given that there are $\text{30}$ boys and $\text{40}$ girls.
The problem asks for the ratio of boys to girls.
So, our initial ratio is $\text{30:40}$ .

STEP 5

To simplify a ratio, we find the greatest common divisor (GCD) of both numbers.
The GCD of $\text{30}$ and $\text{40}$ is $\text{10}$ .

STEP 6

Now, we divide both parts of the ratio by the GCD.
So, we divide $\text{30}$ by $\text{10}$ which gives us $30 \div 10 = 3$ .
And we divide $\text{40}$ by $\text{10}$ which gives us $40 \div 10 = 4$ .

STEP 7

Our simplified ratio is $\text{3:4}$ .
This means for every 3 boys, there are 4 girls.

STEP 8

The correct ratio of boys to girls is $\text{3:4}$ .
Abigail is incorrect.

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Studdy Solution

STEP 1

What is this asking? We need to check if Abigail's ratio of boys to girls is right, and if not, find the correct ratio. Watch out! Don't mix up the order – it's boys to girls, not girls to boys!Also, make sure to simplify the ratio to its lowest form.

STEP 2

1. Check Abigail's Answer2. Calculate the Correct Ratio3. Simplify the Ratio

STEP 3

Abigail says the ratio is 4:3.This means for every 4 boys, there are 3 girls.But we know there are more girls than boys!So, Abigail is definitely **wrong**.

STEP 4

We're given that there are 30\text{30}30 boys and 40\text{40}40 girls.The problem asks for the ratio of boys to girls.So, our **initial ratio** is 30:40\text{30:40}30:40.

STEP 5

To simplify a ratio, we find the **greatest common divisor (GCD)** of both numbers.The GCD of 30\text{30}30 and 40\text{40}40 is 10\text{10}10.

STEP 6

Now, we **divide** both parts of the ratio by the **GCD**.So, we divide 30\text{30}30 by 10\text{10}10 which gives us 30÷10=330 \div 10 = 330÷10=3.And we divide 40\text{40}40 by 10\text{10}10 which gives us 40÷10=440 \div 10 = 440÷10=4.

STEP 7

Our **simplified ratio** is 3:4\text{3:4}3:4.This means for every 3 boys, there are 4 girls.

STEP 8

The correct ratio of boys to girls is 3:4\text{3:4}3:4.Abigail is incorrect.

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Studdy solves anything!

Start learning now

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

What is this asking? We need to check if Abigail's ratio of boys to girls is right, and if not, find the correct ratio. Watch out! Don't mix up the order – it's boys to girls, not girls to boys!
Also, make sure to simplify the ratio to its lowest form.

1. Check Abigail's Answer
2. Calculate the Correct Ratio
3. Simplify the Ratio

Abigail says the ratio is 4:3.
This means for every 4 boys, there are 3 girls.
But we know there are more girls than boys!
So, Abigail is definitely wrong.

We're given that there are $\text{30}$ boys and $\text{40}$ girls.
The problem asks for the ratio of boys to girls.
So, our initial ratio is $\text{30:40}$ .

To simplify a ratio, we find the greatest common divisor (GCD) of both numbers.
The GCD of $\text{30}$ and $\text{40}$ is $\text{10}$ .

Now, we divide both parts of the ratio by the GCD.
So, we divide $\text{30}$ by $\text{10}$ which gives us $30 \div 10 = 3$ .
And we divide $\text{40}$ by $\text{10}$ which gives us $40 \div 10 = 4$ .

Our simplified ratio is $\text{3:4}$ .
This means for every 3 boys, there are 4 girls.

The correct ratio of boys to girls is $\text{3:4}$ .
Abigail is incorrect.