The ratio of girls to boys in the junior high band is 5 to 7. At the beginning of year, there were 72 students in the band. By the end of the year, the ratio of girls to boys was 3 to 4. If there are now 48 boys in the band, how many girls joined the band during the school year?

Question

Mathematics

Robert Fletcher

25 February, 15:13

The ratio of girls to boys in the junior high band is 5 to 7. At the beginning of year, there were 72 students in the band. By the end of the year, the ratio of girls to boys was 3 to 4. If there are now 48 boys in the band, how many girls joined the band during the school year?

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Answers (1)

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Ashanti Moon · Answer 1

Ratio is 5girls:7boys with total 72 students

5+7 = 12

72➗12 = 6

6 (5:7) = 30 girls : 42 boys

New ratio is 3:4 with 48 boys

48➗4 = 12

So for girls 3x12 = 36

So started with 30 girls ended with 36 girls ... 6 girls joined band during the school year.