DS ratios

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tj123: Senior | Next Rank: 100 Posts; Posts: 85; Joined: Mon Dec 08, 2008 12:09 am

by tj123 » Mon Dec 22, 2008 7:38 pm

what is the ratio of the number of cups of flour to the number of cups of sugar required in a certain cake recipe?

1) The number of cups of flour required in the recipe is 250% of the number of cups of sugar required in the recipe.

2) 1.5 more cups of flour than cups of sugar are required in the recipe

The answer is A.
My question is why not D.

statement 2 also gives a proportion by saying that there are 1.5 cups of flour needed for the total amount of cups of sugar. if sugar cups = x. then the ration would be

1.5+x/ x

Source: Beat The GMAT — Data Sufficiency | Mon Dec 22, 2008 7:38 pm

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Mon Dec 22, 2008 7:55 pm

x->cups of flour
y->cups of sugar

Stmt II is saying

y + 1.5 = x

Number of cups of sugar + 1.5 more cups will give u the number of cups of flour

We cant find the ratio from this

Hope this helps!

ronniecoleman: Legendary Member; Posts: 546; Joined: Sun Nov 16, 2008 11:00 pm; Location: New Delhi , India; Thanked: 13 times

by ronniecoleman » Mon Dec 22, 2008 9:45 pm

what is the ratio of the number of cups of flour to the number of cups of sugar required in a certain cake recipe?

1) The number of cups of flour required in the recipe is 250% of the number of cups of sugar required in the recipe.

2) 1.5 more cups of flour than cups of sugar are required in the recipe

1. Let x be the no of cups of floor
y be the no of cups of sugar
x = 250/100 * (y)

x/y = 5/2

hence you can find the ratio

2. say

x + something = y

you cannot deduce x/y

So IMO A

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lacaji: Newbie | Next Rank: 10 Posts; Posts: 4; Joined: Sun Dec 21, 2008 3:37 pm

by lacaji » Tue Dec 23, 2008 8:40 am

Tj, you have your formula wrong, the formula should be (1.5+x)/x not 1.5+x/x.
Statement 2 says 1.5 more cups of flour than sugar. Look at the following 2 examples that would give you completely different ratios
S: 1.5 --> F: 3 Ratio 3/1.5--> 2
Another choice could be S:98.5--> F:100 Ratio 100/98.5 (which is closer to 1)

lacaji: Newbie | Next Rank: 10 Posts; Posts: 4; Joined: Sun Dec 21, 2008 3:37 pm

by lacaji » Tue Dec 23, 2008 8:40 am

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