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?

$0.36/lb
$2.50/lb
$2.80/lb
$6.75/lb

1 answer

To find the price of the trail mix, we first need to simplify the equation:

3(3) + 0.75(2) = (3 + 0.75)x
9 + 1.5 = 3.75x
10.5 = 3.75x
x = 10.5 / 3.75
x = 2.80

Therefore, the price of the trail mix is $2.80 per pound. The answer is $2.80/lb.