Answer:
The quantity of first nut = x = 2.4 lb
The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb
Step-by-step explanation:
Let amount of first type of nut = x
Amount of second type of nut = 12.9 - x
Total Cost of first type of nut = 4.5 x
Total Cost of second type of nut = 8.8 × (12.9 - x)
Total cost of both type of nut = 8 × 12.9
Total cost = Cost of first type of nut + Cost of second type of nut
8 × 12.9 = 4.5 x + 8.8 × (12.9 - x)
103.2 = 4.5 x + 113.52 - 8.8 x
8.8 x - 4.5 x = 10.32
4.3 x = 10.32
x = 2.4
Therefore the quantity of first nut = x = 2.4 lb
The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb
