Answer:
Each pound of walnuts cost $3.50 and each pound of chocolate chips cost $1.50
Step-by-step explanation:
Let the cost of one pound of walnuts = $w
and the cost of one pound of chocolate chips = $c
Cost of 12 pounds of walnuts and 2 pounds of chocolate chips = $45
12w + 2c = 45 ------(1)
Cost of 3 pounds of walnuts and 5 pounds of chocolate chips = $18
3w + 5c = 18 --------(2)
Multiply equation (2) by 4 then subtract it from equation (1)
(12w + 2c) - (12w + 20c) = 45 - 72
-18c = -27
c = [tex]\frac{27}{18}[/tex]
c = $1.5
Substitute c = 1.5 in equation (1),
12w + 2(1.5) = 45
12w = 45 - 3
w = [tex]\frac{42}{12}[/tex]
w = $3.5
Therefore, each pound of walnuts cost $3.5 and each pound of chocolate chips cost $1.5
