Question

Find the current ratio of boys to girls at certain school is 2to 5 if 12 additional boys are added to the school the new ratio of the boys to girls would be 4 to 9 how many boys currently attend the school

Answer 1

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Answer 2

2:5=2x:5x

5x=boys

12 boys are added to the school,so

5x+12

then the new equation is

4:9

so,

2x÷5x+12=4x÷9x

cross multiply

18x²=20x²+48x

-2x²=48x

x=-24

4x:9x

4×-24:9×-24

=-96:-216

=48:108