SOLUTION: A candy store at the mall sells Pink Hearts for $4.50 per pound and Sugar Twists for $5.00 per pound. If they sell three times as many pounds of Sugar Twists as Pink Hearts, and ta

Algebra ->  Finance -> SOLUTION: A candy store at the mall sells Pink Hearts for $4.50 per pound and Sugar Twists for $5.00 per pound. If they sell three times as many pounds of Sugar Twists as Pink Hearts, and ta      Log On


   

Question 836321: A candy store at the mall sells Pink Hearts for $4.50 per pound and Sugar Twists for $5.00 per pound. If they sell three times as many pounds of Sugar Twists as Pink Hearts, and take in $292.50, how many pounds of Sugar Twists did they sell?
Do not enter units.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This really a simple linear systems application.

h for pink Hearts
w for sugar tWists
w%2Fh=3%2F1, or w=3h

Accounting for revenue: 4.5h%2B5w=292.5;
simply substitute for w:
4.5h%2B5%2A3h=292.5
19.5w=292.5
w=292.5%2F19.5
highlight%28w=15%29 the pounds of Sugar Twists.
This means 5 pounds of Pink Hearts.