the ratio of boys to girls is 4:5. i there are 72 children on the playground how many were boys

4/9 = x/72

Cross multiply and solve for x.

To find the number of boys on the playground, we need to determine the ratio of boys to the total number of children and then multiply that ratio by the total number.

Given that the ratio of boys to girls is 4:5, we can consider the total ratio of boys and girls as 4 + 5 = 9 parts.

Since the ratio of boys to the total number of children is 4:9, we can calculate the number of boys by multiplying the total number of children by the ratio of boys to the total ratio (4/9):

Number of boys = (4/9) x Total number of children

Substituting in the total number of children as 72, we have:

Number of boys = (4/9) x 72
= (4/9) x 8 x 9 [canceling out common factors]
= 4 x 8
= 32

Therefore, there were 32 boys on the playground.