A school choir is made up of girls and boys in the ratio 4 :3. There are 35 students in the choir altogether.
Question
A school choir is made up of girls and boys in the ratio 4 : 3. There are 35 students in the choir altogether.
Solution
Sure, I can help with that.
The ratio of girls to boys in the choir is 4:3. This means for every 7 students (4 girls + 3 boys), there are 4 girls and 3 boys.
The total number of students in the choir is 35. To find out how many are girls and how many are boys, we need to see how many times the ratio (7 students) fits into the total number of students (35).
35 divided by 7 equals 5. This means the ratio fits 5 times into the total number of students.
To find the number of girls, we multiply the number of times the ratio fits into the total by the number of girls in the ratio. So, 5 times 4 equals 20.
Therefore, there are 20 girls in the choir.
To find the number of boys, we multiply the number of times the ratio fits into the total by the number of boys in the ratio. So, 5 times 3 equals 15.
Therefore, there are 15 boys in the choir.
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