A store owner wants to mix 30 pounds of peanuts that sell for $2 a pound with cashews that sell for $8 a pound to get a mixture of mixed nuts that sells for $3.50 a pound. If x is the number of pounds of cashews, which of the following equations would solve the problem?
A) 60 + 8 x = 3.50
B) 30 + 8 x = 3.50(30 + x )
C) 30 + x = 3.50
D) 60 + 8 x = 3.50(30 + x )

Question

Quizplus · Accepted Answer

The correct equation to solve the problem is the total cost of peanuts plus the total cost of cashews equals the total cost of the mixed nuts. The cost of peanuts is $2 per pound for 30 pounds, so $60, and the cost of cashews is $8 per pound for x pounds, so $8x. The mixture sells for $3.50 per pound, and the total weight is 30 pounds of peanuts plus x pounds of cashews, so the equation is 60 + 8x = 3.50(30 + x).

A Store Owner Wants to Mix 30 Pounds of Peanuts