Question

How many pounds of peanuts costing $1.90/lb and raisins costing $2.50/lb should Mr.Bruckner mix to make 12 lb of a trail mix that costs $2.05/lb?

Answer 1

We have been given the cost of peanuts as $1.90/lb and cost of raisins as $2.50/lb.

We need to figure out how much of peanuts should be mixed with raisins to make 12 pounds of trail mix that costs $2.05/lb.

Let x pounds of peanuts should be mixed with (12-x) pounds of raisins. Therefore, we can set the total cost before mixing with total cost after mixing.

$1.90x+2.50(12-x)=12(2.05)$

$1.90x+30-2.5x=24.6$

$1.90x-2.5x=24.6-30$

$-0.6x=-5.4$

$x=\frac{-5.4}{-0.6}=9$

Therefore 9 lbs of peanuts should be mixed with 3 lbs of raisins.