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did anyone ever get beaten by the easiest problem before?

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by abcdefg » Sat Jul 18, 2009 4:04 pm
This was #37 of my MGMAT practice exam, I had over 5 minutes to solve this but couldnt.

A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?

7/16
7/15
10/21
17/35
1/2

A .

I used VIC with 100 and the fractions got so big and messy. I should have just used VIC with 1 as the number and solved it in 2 seconds instead of using 5 minutes to get it wrong.

LOL so frustrating. [/u]
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by tohellandback » Sat Jul 18, 2009 6:46 pm
if total sold were 100
3/5*100=60 small cups
40 large cups

if price of small cup is 6, then price of large cup will be 7

revenue from small cup=60*6=360
revenue from large cup=40*7=280
total revenue=360+280=640
ration of revenue from large to total revenue= 280/640=7/16
The powers of two are bloody impolite!!
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by abcdefg » Sat Jul 18, 2009 9:21 pm
yeah this was the easiest problem ever. I made the mistake of choosing 1 cent for the small cups and 7/6 cents for the large cups. haha. 7*40/6.
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by tohellandback » Sat Jul 18, 2009 9:58 pm
abcdefg wrote:yeah this was the easiest problem ever. I made the mistake of choosing 1 cent for the small cups and 7/6 cents for the large cups. haha. 7*40/6.
yeah you gotta chose numbers so that fraction cancel out and not complicate it..h
The powers of two are bloody impolite!!
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by zenithexe » Sat Jul 18, 2009 10:03 pm
I see what you mean, I often make easy calculation/writing down/word>equation translation errors. It pisses me off. lol, I hate it when I'm pressed for time to solve a question and get a totally wrong answer.

btw I would solve it this way,
S=price of small lemonade
L=Price of large one

Stand sold (3/5)S+(2/5)L
and L=(7/6)S

so total sold were (3/5)S and (2/5)(7/6)S
so this is (9/15)S and (7/15)S
the proportion of L to total would be
(7/15)/(9/15+7+15) or (7/15)/(16/15) = 7/16
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