Question

Billy wants to make trail mix using almonds, peanuts, and raisins. He wants to mix one part almonds, two parts peanuts, and three parts raisins. Almonds cost $12 per pound, peanuts cost $8 per pound, and raisins cost $6 per pound. Let x represent the number of pounds of almonds.
a. Billy has $23 to spend on the trail mix. Write an equation to find the number of pounds of almonds Billy will be able to buy.
b. Determine how many pounds of trail mix he can make. __________
Show your work.

Answer 1

X = price of the ingredients

so based on the proportion , we can write that :
Almonds needed = x     =                    $ 12 x
peanut needed   =  2x   = 2x * $ 8     =  $ 16x
raisins needed     = 3x  =  3x * $6      =  $ 18x

Equation = 
12x + 16x + 18x  ≤  $ 23

46x                  =     $23

x    =  $ 0.5

The pound of mix he can made :

0.5 * 1 pound of almond  + 0.5 x  * 2 pound of peanuts + 0.5 * 3 pound of raisins

= 3 Pound of mix