Answer:
3(3) + 0.75(2) = (3 + 0.75)x
Step-by-step explanation:
The cost per pound of the mixture is the total cost divided by the total weight.
3 lb granola at $3 per lb has a cost of 3(3)
0.75 lb of raisins at $2 per lb has a cost of 0.75(2)
The total cost is 3(3) + 0.75(2)
The mixture has an unknown cost per lb, so we call it x.
When you multiply the cost per lb of the mix by the total weight, you get the total cost.
Total weight of mix: 3 + 0.75
Cost per lb of mix: x
Total cost of mix: (3 + 0.75)x
Above, we know the total cost is 3(3) + 0.75(2)
We set these two amounts equal to get our equation.
3(3) + 0.75(2) = (3 + 0.75)x
Answer: 3(3) + 0.75(2) = (3 + 0.75)x
