3/7 of the total were white, 3/12 of remaining are chocolate, and 75 are cherry, how many are white, how many are chocolate, what is the total?

She made cupcakes for a banquet, 3/7 were white cake, 3/12 of the remaining were chocolate,  75 were cherry, how many white cake and chocolate, and how many all together?
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1 Answer

If there are n cupcakes, 3n/7 are white, so 4n/7 are cherry or chocolate, and 3/12 of 4n/7=n/7 are chocolate.

So what remains is n-3n/7-n/7=3n/7 cherry=75. So n=7×75/3=175.

White=3×175/7=75; chocolate=175/7=25; cherry=75 (given), 175 all together.

by Top Rated User (1.2m points)

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