College Algebra Word Problem

Question

A company mixes peanuts, cashews, and almonds to obtain 25 oz package worth 6.85 dollars. If peanuts, cashews, and almonds cost 14, 41, and 54 cents per oz respectively, and the amount of cashews is equal to the amount of almonds, how much of each is in the package?

Answer 1

C=amount of cashews in ounces

C=amount of almonds...

P=amount of peanuts...

C+C+P=25

2C+P=25

0.41C+0.54C+0.14P=6.85

0.95C+0.14P=6.85

if 2C+P=25, then P=25-2C

substitute

0.95C+0.14(25-2C)=6.85

0.95C+3.5-0.28C=6.85

0.67C+3.5=6.85

0.67C=6.85-3.5

0.67C=3.35

67C=335

C=335/67

C=5 ounces of cashews

C=5 ounces of almonds

P=15 ounces of peanuts