Question

a lumber company combined oak wood chips that cost $3.30 per pound with pine wood chips that costs $2.60 per pound. how many pounds of each were used to make a 75- pound mixture costing $2.80 per poind ?

Answer 1

Explanation:

Let x be the number of pounds of oak wood chips used and 75-x be the number of pounds of pine wood chips used.

The cost of x pounds of oak wood chips at $3.30 per pound is 3.30x dollars. The cost of (75-x) pounds of pine wood chips at $2.60 per pound is 2.60(75-x) dollars.

Since the total cost of the mixture is $2.80 per pound and there are 75 pounds in the mixture, the total cost of the mixture is 2.80(75) = 210 dollars.

Solving the equation 3.30x + 2.60(75-x) = 210 for x gives x ≈ 21.43.

Therefore, the lumber company used approximately 21.43 pounds of oak wood chips and 75-21.43 = 53.57 pounds of pine wood chips to make a 75-pound mixture costing $2.80 per pound.