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

Answer:

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

Step-by-step 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