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: $$\begin{array} { | l | c | c | }
\hline \text { Product } & \text { Unit Sales Prices } & \text { Unit Variable Cost } \
\hline \text { Almonds } & \$ 8.00 & \$ 4.00 \
\hline \text { Cashews } & \$ 10.00 & \$ 5.00 \
\hline \text { Pistachios } & \$ 6.00 & \$ 4.00 \
\hline
\end{array}$$ 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: $$\begin{array} { | l | c | c | } 
\hline \text { Product } & \text { Unit Sales Prices } & \text { Unit Variable Cost } \
\hline \text { Almonds } & \$ 8.00 & \$ 4.00 \
\hline \text { Cashews } & \$ 10.00 & \$ 5.00 \
\hline \text { Pistachios } & \$ 6.00 & \$ 4.00 \
\hline
\end{array}$$ 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 pistachios outsold cashews 2 to 1 implies that the number of cans of pistachios sold is 2x, and sales of almonds were half the sales of cashews implies that the number of cans of almonds sold is 0.5x. Therefore, the formula to determine the number of cans of each nut sold is x + 2x + 0.5x = 10,000, which simplifies to 3.5x = 10,000. Solving for x, we get x = 2,857, which means the number of cans sold for cashews, pistachios, and almonds are approximately 2,857, 5,714, and 1,429, respectively.

The Nut House Sells Almonds,cashews,and Pistachios The Formula to Determine the Number of Cans of Each