SOLUTION: 1. A vendor paid $175 for a basket of mangoes. He brought 10% of the mangoes and sold the remainder at $2.50 each for a profit of $5o. How many mangoes did he purchase? I trie

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: 1. A vendor paid $175 for a basket of mangoes. He brought 10% of the mangoes and sold the remainder at $2.50 each for a profit of $5o. How many mangoes did he purchase? I trie      Log On

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Question 348414: 1. A vendor paid $175 for a basket of mangoes. He brought 10% of the mangoes and sold the remainder at $2.50 each for a profit of $5o. How many mangoes did he purchase?

I tried solving but I can't get the representations correct.
I was able to get the no. of mangoes of the remainder but after that I couldn't get the right representations.
I really need your help. Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A vendor paid $175 for a basket of mangoes. He bought 10% of the mangoes and sold the remainder at $2.50 each for a profit of $5o. How many mangoes did he purchase?
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He paid $175 for x mangoes.
Each mango cost him $(175/x)
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He sold 0.9x of the mangoes at $2.50 each.
He received 2.5(0.9x) = $2.25x
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Equation:
Selling price - Buying price = $50
2.25x - 175 = 50
2.25x = 225
x = 100 (original # of mangoes)
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Cheers,
Stan H.