The Nut House sells almonds, cashews, and pistachios. They sold 10,000 cans last year. Pistachios outsold cashews by a margin of 2 to 1 in cans. Sales of almonds were half the sales of cashews in cans. Fixed costs for the Nut House are $20,000 and additional information follows:
The formula to determine the number of cans of each nut sold is

Question

The Nut House sells almonds, cashews, and pistachios. They sold 10,000 cans last year. Pistachios outsold cashews by a margin of 2 to 1 in cans. Sales of almonds were half the sales of cashews in cans. Fixed costs for the Nut House are $20,000 and additional information follows: 
 The formula to determine the number of cans of each nut sold is

Quizplus · Accepted Answer

Let x be the number of cans of cashews sold. Then, based on the given information, the number of cans of pistachios sold is 2x and the number of cans of almonds sold is 0.5x. Therefore, the total number of cans sold is x + 2x + 0.5x = 3.5x. We know that the total number of cans sold is 10,000, so 3.5x = 10,000. Solving for x, we get x = 2,857. Therefore, the Nut House sold 2,857 cans of cashews, 5,714 cans of pistachios, and 1,429 cans of almonds. The fixed costs are $20,000, so the Nut House's total costs are $20,000 + variable costs. We do not know the price of each can or the variable cost per can, so we cannot calculate the total variable cost. However, we do know that choice B is the correct formula to determine the number of cans sold.

The Nut House Sells Almonds, Cashews, and Pistachios