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A grocer sells oranges for $0.95 each and grapefruits for $1.05 each. You purchased a mix of 20 oranges and grapefruits and paid $20.20. How many of each type of fruit did you buy? (If there is no solution, enter NO SOLUTION.)

Algebra
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x - oranges y - grapefruits \(0.95x+1.05y=20.20\) \(x+y=20\) Solution is x = 8 y = 12
HOw did you come up with the x+y=20? That is where I get hung up
The total number of x oranges and y grapefruits is 20. So, x+y=20.

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Other answers:

OMG I think I am retarded. I kept inserting 20.20! Thanks for your help, I appreciate it.
It's OK. Don't give up math and you will be lucky.
I should have you handy all of the time! My test is going to kill me! lol

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