If Jill needed to buy 9 bottles of soda for a party in which 12 people attended, how many bottles of soda will she need to buy for a party in which 8 people are attending?

If Jill needed to buy 9 bottles of soda for a party in which 12 people attended, how many bottles of soda will she need to buy for a party in which 8 people are attending?

Detailed Explanation

We can set up a proportion to solve:

\(\frac{\mathrm{9 bottles} }{\mathrm{12 people} } = \frac{\mathrm{x bottles} }{\mathrm{8 people} }\)

Cross-multiply to solve a proportion:

(9)(8)=(12)(x)

72=12x

6=x

\(\frac{\mathrm{9 bottles} }{\mathrm{12 people} } = \frac{\mathrm{x bottles} }{\mathrm{8 people} }\)

Cross-multiply to solve a proportion:

(9)(8)=(12)(x)

72=12x

6=x