Question

Carlo buys $14.40 worth of grapefruit. Each grapefruit costs $0.80.

a. How many grapefruits does Carlo buy?
b. At the same store, Kahri spends one-third as much money on grapefruits as Carlo. How many grapefruits does she buy?

Answer 1

`a.\ 18\ grapefruits\\\\b.\ 6\ grapefruits`

Explanation:

a. Let be "x" the number of grapefruits Carlo buys.

You know that the cost of one grapefruit is $0.80.

Knowing that Carlo buys $14.40 of grapefuit, you can set up the following proportion:

`(1\ grapefruit)/(\$0.80)=(x)/(\$14.40)`

Solving for "x", you get:

`((\$14.40)(1\ grapefruit))/(\$0.80)=x\\\\x=18\ grapefruits`

b. Since Kahri spends one-third as much money on grapefruits as Carlo, you need to multiply 18 grapefruits by
`(1)/(3)` in order to calculate the number of grapefruits she buys. Then:

`(18\ grapefruits)((1)/(3))=6\ grapefruits`

Answer 2

a) 18 grapefruits

b) 6 grapefruits

Explanation:

a) n = 14.4 / 0.80 = 18 grapefruits

b) n = (14.4 / 3) / 0.8 = 6 grapefruits