The ratio of the number of boys to the number
of girls in a school band is 13:3. There are 30
fewer girls than boys.
(a) How many boys are there?
(b) How many girls are there?
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Answer:
39 boys and 9 girls
Step-by-step explanation:
let number of boys be 13x
let number of girls be 3x
as there are 30 fewer girls than boys
3x+30=13x
30=13x-3x
30=10x
30/10=x
3=x
therefore 13x=13×3=39
3x=3×3=9
therefore, there are 39 boys and 9 girls.
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