Need Help

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• Apr 27th 2013, 10:12 AM
anneshirleygilbert
Need Help
Can somebody please help with this challenging question?

m sweets are shared among Amanda, Beatrice and Christina. Beatrice has h/2 times as many sweets as Christina while Amanda's share is g times of Beatrice's share.
a) express and simplify, in terms of m, g and h, Amanda's share of the sweets.
b) hence, find Amanda's share of the sweets if m=20, g=2 and h=6

Thank you in advance.
• Apr 27th 2013, 12:38 PM
HallsofIvy
Re: Need Help
The only "challenging part" is deciding if you want to try to write it as a single equation. It is simpler to write each statement as an equation.
Let A, B, and C represent the number of sweets Amanda, Beatrice, and Christina had, respectively.
"m sweets were shared among Amanda, Beatrice, and Chrisina." A+ B+ C= m
"Beatrice has h/2 times as many sweets as Christina." B= (h/2)C
"Amanda's share is g times Beatrice's share." A= gB

Since B= (h/1)C, A= g(h/2)C= (gh/2)C. So we can write B= A/g and C= 2A/gh.

Putting those into the first equation A+ A/g+ 2A/gh= (1+ g+ 2/gh)A= m.

Can you solve that for A?
• Apr 27th 2013, 07:38 PM
anneshirleygilbert
Re: Need Help
Thank you HallsofIvy for your swift reply and for taking the time to help in such a detailed way. Continuing from where you stopped....

A = m / (1 + g + 2/gh)

But when I substituted m=20. g=2 and h=6 into the equation, I get a fraction of 120/19. Shouldn't the answer be an integer instead of a fraction?

Please continue to help... TIA