Question

Jeremy bought x pounds of peanuts for $4.50 per pound and y pounds of cashews for $7.05 per pound at the store for a retirement party. The total bill was $43.65 for 8 pounds of nuts.

Part A: Write a system of two equations that could be used to find the number of pounds of peanuts and the number of pounds of cashews bought.
Part B: Solve the system. How many pounds of each nut did Jeremy buy?

Answer 1

4.5x+7.05y=$43.65

x+y=8
Timed 4.5 for both side to get
4.5x+4.5y=36

4.5x+7.05y=43.65
-
4.5x+4.5y=36
=
2.55y=7.65
y=3 pounds
x=5 pounds. Hope it help!