Question

Question #5d8b7

Answer 1

19 boys and 13 girls

Explanation:

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

`13` girls in the class.

Explanation:

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`