Answer:
x = cost per pound of almond = $10.2
y = cost per pound of cashew = $12.4
Explanation:
Let
x = cost per pound of almond
y = cost per pound of cashew
Magda:
6x + y = 73.60
Nicholas:
4x + 3y = 78.00
6x + y = 73.60 (1)
4x + 3y = 78.00 (2)
Multiply (1) by 3
18x + 3y = 220.8 (3)
4x + 3y = 78.00 (2)
Subtract (2) from (3) to eliminate y
18x - 4x = 220.8 - 78.00
14x = 142.8
x = 142.8 / 14
x = 10.2
Substitute x = 10.2 into (1)
6x + y = 73.60 (1)
6(10.2) + y = 73.60
61.2 + y = 73.60
y = 73.60 - 61.2
y = 12.4
x = cost per pound of almond = $10.2
y = cost per pound of cashew = $12.4