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

Answer:

$2.8

Step-by-step 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.

$9+ 1.5 = (3.75)x$

$10.5 = (3.75)x$

$\frac{10.5}{3.75}=x$

$2.8=x$

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