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the ratio of boys to girls is 8:7 the total is 195 how many boys how many boy how many girls

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\(8:7\\8x:7x\\8x+7x=15x\\\\ 15x=195\\x=13\\\\ 8\times 13 =104~boys\\7\times 13= 91~girls\)

TheBlueFox

Set up a proportion:

In a sample of 8:7, you have 15 kids in all.

So the the ratio of girls to kids in a sample of 15 is 7:15.

So set up a proportion:

\(\frac{7}{15}\) = \(\frac{x}{195}\)

15x = 1365

x = 91

There are 91 girls.

To find out how many boys there are, we can subtract 91 from 195 and we will get a difference of 104.

Therefore, there are 91 girls and 104 boys.