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.)

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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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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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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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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