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The ratio of boys to girls on a team is 4 to 5. If there are 135 students on the team, how many are boys, and how many are girls?

Answer :

Final answer:

The ratio of boys to girls on the team is 4:5, and there are 135 students in total. By dividing the total number of students by the sum of the ratio (9), we find that each 'part' of the ratio equals 15 students. So, there are 60 boys (4 * 15) and 75 girls (5 * 15) on the team.

Explanation:

The question is asking how many boys and girls are on a team if the ratio of boys to girls is 4:5 and there are a total of 135 students on the team.

First, we need to understand that the ratio represents the distribution of boys and girls in the team, not their exact numbers. Therefore, to find out the exact number of boys and girls, we need to add the parts of the ratio: 4 (for boys) + 5 (for girls) which equals 9. These 9 parts are equivalent to the total number of students, 135. So, one part of this ratio corresponds to 135 / 9 = 15 students.

Now, to find out the number of boys, we multiply the number of parts for boys (4) by the number equivalent to one part (15). That gives us 4 * 15 = 60 boys. And for the girls, we multiply the number of parts for girls (5) by the number equivalent to one part (15). That gives us 5 * 15 = 75 girls. So, the team consists of 60 boys and 75 girls.

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Rewritten by : Barada

boys = 4 + 5 = 9
4 ÷ 9 × 135 = (60 boys)

girls =4 + 5 = 9
5 ÷ 9 × 135 = (75 girls)