The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir.
How many boys are in the choir?
48
75
80
61
The ratio of boys to girls is 5:4. This means for every 5 boys, there are 4 girls. If there are 60 girls, we can set up a proportion:
5 boys / 4 girls = x boys / 60 girls
Cross-multiplying gives us:
4x = 300
Dividing both sides by 4:
x = 75
Therefore, there are 75 boys in the choir. The answer is B) 75.
To find the number of boys in the choir, we first need to determine the total number of children in the choir. Since the ratio of boys to girls is 5 to 4, the total ratio would be 5 + 4 = 9.
Given that there are 60 girls in the choir, we can set up a proportion to find the total number of children:
Girls / Total = Girls Ratio / Total Ratio
60 / Total = 4 / 9
Cross-multiplying, we get:
4 × Total = 60 × 9
4 × Total = 540
Dividing both sides by 4, we find:
Total = 540 / 4
Total = 135
Therefore, there are 135 children in the choir.
To find the number of boys, we multiply the total number of children by the ratio of boys:
Boys = Total × Boys Ratio
Boys = 135 × (5/9)
Simplifying, we find:
Boys = 75
Thus, there are 75 boys in the choir.