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There are 24 boys and 16 girls on a playground. What is the ratio of boys to the total number of children on the playground? Select all the equivalent ratios that represent this relationship.

a. 24:40
b. 3:2
c. 6:10
d. 24:16
e. 3:5
f. 6:4

Answer :

Final answer:

The ratio of boys to total number of children on the playground is 24:40 or 3:5, which corresponds to options (a) and (e). We get these by adding the number of boys and girls to get the total then form and simplify the ratio.

Explanation:

The total number of children on the playground is the sum of the boys and the girls, which is 24 boys + 16 girls = 40 children. The ratio of boys to total number of children is therefore 24:40. To simplify a ratio, we can divide both numbers by their greatest common divisor. In this case, 8 is the largest number that can divide both 24 and 40 without a remainder, which gives us another ratio of 3:5.

Therefore, the ratios that represent the relationship of boys to total children on the playground are 24:40 and 3:5. We can see that ratio 24:40 is option (a) and ratio 3:5 is option (e). So, the correct answers are options (a) and (e).

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