Answer:
The solutions are x=4, y=3. Cashews are $4 per pound and Peanuts are $3 per pound.
Step-by-step explanation:
let x = cashews
let y = peanuts
x + 2y = 10 - rosa's purchase
2x + y = 11 - sabrina's purchase
subtract 2x to isolate 'y'
y = 11 - 2x
x + 2(11 - 2x) = 10
x + 22 - 4x = 10 (Use the distributive property.)
-3x = -12
x = 4.00
Plug this into the original equations to find "y"
2(4) + y = 11
8 + y = 11
y = 3
4 + 2y = 10
2y = 6
y = 3
the solutions are: x = 4. y = 3.