Question

Elijah bought a total of 16 pounds of peanuts and cashew nuts and paid $49.50. If peanuts cost $2.75 per pound and cashew nuts cost $3.25 per pound. How many pounds of cashew nuts did he buy?

Answer 1

Answer:

11 pounds of cashews.

Step-by-step explanation:

x = # of peanuts

y = # of cashews

x + y = 16

49.5 = 2.75x + 3.25y

x = 16 - y

49.5 = 2.75(16 - y) + 3.25y

49.5 = 44 +.5y

5.5 = .5y

y = 11 pounds of cashews

Answer 2

Ello user

Let the amount of cashew nuts bought be x

So, ATQ, we have

(16-x)*3.25 + x*2.75 = 49.50

-0.5x = -2.5

So, x = 5

So, there will be 5 pounds of cashew.

Hope this helps