Orange Distribution riddle

A kind gentleman decided to give 10 oranges to each of the girls in his town and 5 oranges to each of the boys.

Of the 612 children in his town, only half the girls and three quarters of the boys took the sweets.

How many oranges did the kind gentleman have to buy?

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SherlockHolmes Expert Asked on 4th February 2018 in Math Puzzles.
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