Solve the problem by writing and solving a suitable system of equations.
-A shopkeeper orders 18 pounds of cashews and peanuts. If the amount of cashews he orders is 14 pounds less than the amount of peanuts, how many pounds of peanuts did he order?
A) 4 pounds
B) 9 pounds
C) 2 pounds
D) 16 pounds

Question

Quizplus · Accepted Answer

Let x be the number of pounds of peanuts ordered. Then the number of pounds of cashews ordered is x - 14. Since the total amount ordered is 18 pounds, we have the equation:x + (x - 14) = 182x - 14 = 182x = 32x = 16Therefore, the shopkeeper ordered 16 pounds of peanuts.

Solve the Problem by Writing and Solving a Suitable System