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Question 434022: I am looking for the proper formula to complete this problem because I would like to try and figure this out on my own: Suppose you have a job at a restaurant that pays $12 per hour. You also work at a bookstore that pays $9 per hour. You want to earn at least $225 per week, but would like to work no more than 25 hours per week.
I was thinking that it should go something like this:
12x + 9y =225
x + y = 25
Multiply the second equation by -9
-9x+-9y=-225
Then use subtraction:
12x+9y=225
-9x-9y=-225
Which gives me this but I know I went wrong somewhere:
3x=-225
x=-75
Please let me know where I am going wrong and how to correct it.
Thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I am looking for the proper formula to complete this problem because I would like to try and figure this out on my own: Suppose you have a job at a restaurant that pays $12 per hour. You also work at a bookstore that pays $9 per hour. You want to earn at least $225 per week, but would like to work no more than 25 hours per week.
I was thinking that it should go something like this:
12x + 9y =225
x + y <= 25
-----------------------
Multiply the second equation by -9
-9x+-9y=-225
-----------------------------
Then use ADDITION to get:
3x = 0
x >= 0
---
Solve for y:
x+y <= 25
---
If x = 0, y = 25
If x = more than 0, y = less than 25
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Cheers,
Stan H.
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