Question

Strawberries are $2.50 A pound and cantaloupes are $2.25 at the local supermarket. Sally bought 7 pounds of the two kinds of fruit for a family breakfast. If she spent exactly $16.75 and bought at least 1 pound of each fruit how many pounds of fruit did she buy there is no sales tax

Answer 1

Sally bought 4 pounds of Strawberries and 3 pounds of Cantaloupes.

Explanation:

Let the number of pounds of Strawberries bought by Sally = x

Let the number of pounds of Cantaloupes bought by Sally = y

`\[x + y = 7\]` ---------------------------------(1)

Moreover,

`\[2.5 x + 2.25 y = 16.75\]` ---------------(2)

Solving (1) and (2) by substitution:

`\[x = 7 - y\]`

=>
`\[2.5 *(7-y) + 2.25 y = 16.75\]`

=>
`\[17.5 - 2.5y + 2.25 y = 16.75\]`

=>
`\[0.25y = 0.75\]`

=>
`\[y = 3\]`

From (1), x = 7-3 = 4