Question

Tramira is making trail mix. She has $40 to spend on a mixture of Almonds and Cashews and wants the same amount of Almonds and Cashews. The Almonds are 8lb, and the Cashews are 10lb. How can she determine how many pounds of each kind of nut to buy?

A) Tramira should buy 4 pounds of Almonds and 4 pounds of Cashews.
B) Tramira should buy 5 pounds of Almonds and 5 pounds of Cashews.
C) Tramira should buy 8 pounds of Almonds and 10 pounds of Cashews.
D) Tramira should buy 10 pounds of Almonds and 8 pounds of Cashews.

Answer 1

Tramira should not buy any almonds and cashews.

Step-by-step explanation:

To determine the number of pounds of each kind of nut Tramira should buy, we need to use a ratio. Let x represent the number of pounds of almonds and cashews that Tramira should buy. The ratio of almonds to cashews is 8:10, or 8/10. Since Tramira wants the same amount of almonds and cashews, the ratio can be expressed as x:x. Now, we can set up an equation: x/x = 8/10. To solve for x, we can cross-multiply and get x = 8/10 * x. Simplifying this equation, we get x = 0.8x. To isolate x, we subtract 0.8x from both sides and get 0.2x = 0. Finally, dividing both sides by 0.2, we find x = 0/0.2 = 0 pounds. Therefore, Tramira should not buy any almonds and cashews.