Question

Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound, and 0.75 pounds of raisins for $2 per pound. The equation 3(3) + 0.75(2) = (3 + 0.75)x models the situation, where x is the price per pound of the trail mix. What is the price of the trail mix?

Answer 1

$2.80/lb is the total price per pound for the trail mix.

Answer 2

$2.8

Explanation:

Given :

Marion buys 3 pounds of granola for $3 per pound, and 0.75 pounds of raisins for $2 per pound.

The equation 3(3) + 0.75(2) = (3 + 0.75)x models the situation, where x is the price per pound of the trail mix.

To Find: What is the price of the trail mix?

Solution:

`3(3) + 0.75(2) = (3 + 0.75)x`

Where x is the price per pound of the trail mix.

`9+ 1.5 = (3.75)x`

`10.5 = (3.75)x`

`(10.5)/(3.75)=x`

`2.8=x`

Hence the price of the trail mix is $2.8 per pound.