Question

A can of cashews mixed with almonds costs $24.60. Cashews cost $4.25//lb and almonds cost $3.80/lb. There are twice as many cashews as almonds in the can. How many pounds of each type are in the can?

Answer 1

Answer: 2 and 4 lb

Step-by-step explanation:

Given

There are twice as many cashews as almonds in the can

Cashews costs $\ 4.25\ lb$

Almonds costs $\ 3.80\ lb$

Can costs $24.60

Suppose there are x lb almonds, so there is 2x lb cashews

$\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb$

Amount of cashews =4 lb

Amount of almonds =2 lb