Question

tammy will order both macaroni and potato salad. She estimates that she will spend a total of $38 on 7 pounds of salad. She uses this system of equations to show how many pounds of macaroni salad, m, and potato salad, p, she plans to buy. 5m + 6p = 38 m + p = 7 How many pounds of each salad does Tammy plan to buy?

Answer 1

Answer: Marcaroni salad = 4 pounds

Potatoes salad = 3 pounds

Explanation:

From the question,

5m + 6p = 38 ......... i

m + p = 7 .......... ii

Multiply equation i by 1

Multiply equation ii by 5

5m + 6p = 38 ....... iii

5m + 5p = 35 ....... iv

Subtract equation iv from iii

p = 3

Since m+p = 7

Therefore, m + 3 = 7

m = 7-3

m = 4

Marcaroni salad = 4 pounds

Potatoes salad = 3 pounds