## Word Problem: A man bought oranges at 20 cents each.

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
carrlin
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### Word Problem: A man bought oranges at 20 cents each.

I know the answer to this but I am having trouble getting to it. The "MORE than 15.6%" phrase is the part that is tripping me up. If it would be just a straight 15.6%, the answer would be 31 oranges. But the actual answer to this problem is 34 oranges. Please help.

A man bought oranges at 20 cents each. When he opened the box he noticed that more than 15.6% were bad. He went on to sell the good oranges for 35 cents each. He made a profit of exactly \$19. How many oranges were bad?

anonmeans
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### Re: Word Problem: A man bought oranges at 20 cents each.

A man bought oranges at 20 cents each. When he opened the box he noticed that more than 15.6% were bad. He went on to sell the good oranges for 35 cents each. He made a profit of exactly \$19. How many oranges were bad?
he bought x; he sold <0.844x
he paid 20x; he got <0.844x*35
profit is 1900<0.844x*35-20x
x>199
what did you do after this?

carrlin
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Joined: Fri Mar 30, 2012 3:25 pm
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### Re: Word Problem: A man bought oranges at 20 cents each.

x>199
what did you do after this?
More than 15.6% of the oranges were bad. I multiplied 15.6% and 199 to get to the conclusion that more than 31 oranges were bad.