Question

The ratio of girls to boys at a local elementary school is 3:4.

a. If there are a total of 45 girls in the school, how many boys are there?
b. At another school across town, the ratio of girls to boys is 5:7. How many total
students are there in the school if there are 95 girls at that ratio?

Answer 1

a. 60 boys

b. 228 total students

Explanation:

a. If there are 45 girls and the ratio of girls to boys is 3:4, then there are 60 boys. The common multiple is 15.

3 * 15 = 45

4 * 15 = 60

45:60 = 3:4

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b. First we need to find out how many boys there are.

95 / 5 = 19

19 * 7 = 133

So, there are 133 boys and the given number of girls is 95. To find out how many total students there are, we need to add 133 and 95.

133 + 95 = 228