Question
A grade 5 class has 56 learners altogether, for every 3 boys, there are 5 girls. How many boys are there in grade 5?
Answers
GPT-4o mini
To find the number of boys in the grade 5 class, we can set up a proportion based on the ratio given. We know that for every 3 boys, there are 5 girls. This means there are a total of \(3 + 5 = 8\) parts in the ratio.
Let the number of boys be represented as \(3x\) and the number of girls as \(5x\), where \(x\) is a common multiplier.
The total number of learners (boys and girls) in the class is given as 56:
\[
3x + 5x = 56
\]
Combining the terms gives:
\[
8x = 56
\]
Now, we can solve for \(x\) by dividing both sides by 8:
\[
x = \frac{56}{8} = 7
\]
Now that we have the value of \(x\), we can find the number of boys:
\[
\text{Number of boys} = 3x = 3 \times 7 = 21
\]
Thus, the number of boys in grade 5 is \(\boxed{21}\).
Let the number of boys be represented as \(3x\) and the number of girls as \(5x\), where \(x\) is a common multiplier.
The total number of learners (boys and girls) in the class is given as 56:
\[
3x + 5x = 56
\]
Combining the terms gives:
\[
8x = 56
\]
Now, we can solve for \(x\) by dividing both sides by 8:
\[
x = \frac{56}{8} = 7
\]
Now that we have the value of \(x\), we can find the number of boys:
\[
\text{Number of boys} = 3x = 3 \times 7 = 21
\]
Thus, the number of boys in grade 5 is \(\boxed{21}\).