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 By: geniuskids (offline)  Sunday, October 21 2012 @ 03:18 AM CDT (Read 850 times)
geniuskids

Q14 : There were 864 more chocolate muffins than banana muffins in a shop.
After 1/6 of the chocolate muffins and 3/4 of the banana muffins were sold, there were 1728 more chocolate muffins than banana muffins left.
How many chocolate muffins were there at first?

Urgent Help needed! Thanks much!

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Registered: 11/12/11
Posts: 169

 By: EMY (offline)  Sunday, October 21 2012 @ 04:01 AM CDT
EMY

Before:
if u = 1 unit, then:
banana muffins = u, then choc muffins = u+864

After:
Choc muffins remainder = 1/6 of (u+864) = 5u/6 + 720
Banana muffins remainder = u/4

So, 5u/6 + 720 = u/4 + 1728
5u/6 -u/4 = 1008

multiply equation by 12, it becomes:
10u - 3u = 12096
u = 1728

so, at first choc muffins were 1728+864 = 2592

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Registered: 10/21/10
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