## Jenny’s aunt wants to buy a mix of almonds and pecans as a birthday gift for Jenny. She wants to buy 6 pounds of nuts in total and spend \$50

Question

Jenny’s aunt wants to buy a mix of almonds and pecans as a birthday gift for Jenny. She wants to buy 6 pounds of nuts in total and spend \$50. If almonds cost \$7 per pound and pecans cost \$9 per pound, how many pounds of pecans should Jenny’s aunt buy?

in progress 0
2 weeks 2021-09-11T08:12:59+00:00 2 Answers 0

Step-by-step explanation:

Let x represent the number of pounds of almonds that Jenny’s aunt should buy.

Let y represent the number of pounds of pecans that Jenny’s aunt should buy.

She wants to buy 6 pounds of nuts. This means that

x + y = 6

If almonds cost \$7 per pound and pecans cost \$9 per pound and she wants to spend \$50, it means that

7x + 9y = 50- – – – – – – – – – – – -1

Substituting x = 6 – y into equation 1, it becomes

7(6 – y) + 9y = 50

42 – 7y + 9y = 50

– 7y + 9y = 50 – 42

2y = 8

y = 8/2

y = 4

x = 6 – y = 6 – 4

x = 2