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27 Apr 2020, 14:46
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Difficulty:
25%
(medium)
Question Stats:
78% (01:51) correct
22%
(02:10)
wrong
based on 1959
sessions
History
Date
Time
Result
Not Attempted Yet
David and Ron are ordering food for a business lunch. David thinks that there should be twice as many sandwiches as there are pastries, but Ron thinks the number of pastries should be 12 more than one-fourth of the number of sandwiches. How many sandwiches should be ordered so that David and Ron can agree on the number of pastries to order?
А. 12
B. 16
C. 20
D. 24
E. 48
PS84780.02
А. 12
B. 16
C. 20
D. 24
E. 48
PS84780.02
28 Jun 2020, 01:44
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Sentences like this can be confusing, because it seems like the "2" should go with the "S", not with the "P". One thing I can almost guarantee is that this will be important on your real test; half your test will be word problems, and you'll see sentences like this one very often on the GMAT. So if you're having any difficulties with this kind of word translation (and many test takers do), it will be one of the most important single things you can work on.
The technique I use, seeing a complicated sentence that doesn't translate directly into algebra, is to rephrase the sentence so the word "is" or "was" appears between two phrases I can translate into algebra. The word "is" or 'was" becomes the "=" sign when we produce an equation. So here, I would rephrase the sentence this way:
"There are twice as many sandwiches as there are pastries" --> "The number of sandwiches is twice the number of pastries" --> S = 2P
If that kind of rephrasing works for you, then you might not have any issues in the future. But if it doesn't, then you should just spend five minutes a day working on this kind of word translation until you're always doing it correctly. Each day, you can take a sentence like this one (you could make a flashcard of some kind if that helps) :
"There are four times as many apples as there are bananas"
and try to rephrase it in as many ways as you can see how:
"The number of apples is four times the number of bananas"
"The number of bananas is one quarter the number of apples"
"There are one quarter as many bananas as there are apples"
and since ratios and percentages are so important, you might want to attempt these rephrasings as well:
"The ratio of apples to bananas is 4 to 1"
"The number of apples is 400% of the number of bananas"
"The number of apples is 300% greater than the number of bananas"
"The number of bananas is 25% of the number of apples"
"The number of bananas is 75% less than the number of apples"
"1/5 of all the pieces of fruit are bananas" (assuming there are only apples and bananas)
(among other possibilities) and finally translate those sentences into algebra, as A = 4B or in some other equivalent way
You should also do this in reverse: start from the equation A = 4B, and see if you can correctly express that in words in a variety of ways.
If you do that just for a few minutes a day, I think you'll find after a week or two this kind of word translation becomes second nature, and you'll no longer need to think about what to do when you see sentences like these with different words or numbers. It will be effort well spent - learning how to work with ratios and related concepts is probably the single most important thing you can do if you want to do well on the GMAT.
Hope that helps!
27 Apr 2020, 14:52
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(David): S = 2*P
(Ron): P = 12 +S/4
—> P = 12 + 2P/4 = 12+ P/2
P/2 = 12
P= 24
S = 48
Answer (E)
Posted from my mobile device
(Ron): P = 12 +S/4
—> P = 12 + 2P/4 = 12+ P/2
P/2 = 12
P= 24
S = 48
Answer (E)
Posted from my mobile device
