Question #5d8b7

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Answer 1 · 2017-03-28T16:27:39

19 boys and 13 girls

Rewrite the word problem as an equation:

$b+g=32$

$b+2g=45$

Use elimination. Subtract the top equation from the bottom equation:

$g=13$

Now plug into one of the equations. I will plug into the first one:

$b+13=32$

$b=19$

Answer 2 · 2017-03-28T18:28:53

$13$ girls in the class.

It is possible to answer the question without using any equations or algebra at all.

The number of student is $32$ .

However, with the number of girls doubled, the total is $45$ .

Therefore the difference in the two totals is the number of girls, because the number of girls was added on again.

$45-32 = 13$ girls in the class.

Check:

$13$ girls + $19$ boys = $32$

$13 +13$ girls + $19$ boys

$=26+19 = 45$