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

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Branta Branta · Answer 1 · 2019-12-17T16:52:06+01:00

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

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

Moreover,

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

Solving (1) and (2) by substitution:

[tex]\[x = 7 - y\][/tex]

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

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

=> [tex]\[0.25y = 0.75\][/tex]

=> [tex]\[y = 3\][/tex]

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