SOLUTION: While on a four-week hiking trip in the mountains, the Tryon family washed 11 loads of clothes at The Mountain View Laundry. The 20-lb capacity washing machine costs $1.50 per load

Question 394839: While on a four-week hiking trip in the mountains, the Tryon family washed 11 loads of clothes at The Mountain View Laundry. The 20-lb capacity washing machine costs $1.50 per load while the 30-lb costs $2.50. Their total laundry expense was $20.50. How many loads were laundered in each size washing machine?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of loads washed in 20 pound machine
Let = number of loads washed in 30 pound machine
given:
(in cents)
(1)
(2)
Multiply both sides of (2) by , and
and subtract (2) from (1)
(1)
(2)

And, from (2),

7 loads were washed in the 20 pound machine
4 loads were washed in the 30 pound machine
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