Question

To make lemonade, Andy adds

8 tablespoons of sugar for every
12 ounces of water. If he uses 32 ounces
of water, which proportion can he use
to find the number of tablespoons of
sugar x he should add to make the
lemonade?

Answer 1

64/3 tablespoons of sugar for 32 ounces of water

Explanation:

In these kinds of questions it is nice to find how muc of 1 thing there is for every ONE of another. so 8 tablespoons of sugar for 12 ouncesof water you can divide both sides by 8 or 12.

Dividing it by 8 gets 8/8 = 1 tablespoon of sugar for 12/8 = 1.5 ounces of water.

Dividing by 12 gets 8/12 = 2/3 tablespoon of sugar for 12/12 = 1 ounce of water.

Now you can take one or the other and multiply it to fit whichever you want to fit a ratio.

It asks what happens if you use 32 ounces of water, so lets use the ratio where we hae 1 ounce, then multiply everything by 32.

2/3 tablespoon of sugar for 1 ounce of water

Multiply by 32 and you get 32*(2/3) = 64/3 tablespoons of sugar for 32 ounces of water