SOLUTION: Manny works 40 hours a week. He must work for his parents where he earns $8 per hour. He also works for a computer company where he earns $20 per hour. What is the minimum number o

Question 697567: Manny works 40 hours a week. He must work for his parents where he earns $8 per hour. He also works for a computer company where he earns $20 per hour. What is the minimum number of hours Manny can work for the computer company to earn a total of $464 per week from both jobs?
I have so far figured out this much, but I'm not sure it's correct:
8x+20y=464
x+y=40
Can you help me?

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Manny works 40 hours a week. He must work for his parents where he earns $8 per hour. He also works for a computer company where he earns $20 per hour. What is the minimum number of hours Manny can work for the computer company to earn a total of $464 per week from both jobs?
I have so far figured out this much, but I'm not sure it's correct:
8x+20y=464
x+y=40
Can you help me?
.
So far, so good.
Let x = hours working for parents
and y = hours working for computer company
.
solve for x:
x+y=40
x=40-y
substitute above into:
8x+20y=464
8(40-y)+20y=464
320-8y+20y=464
320+12y=464
12y = 144
y = 12 hours

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