The Farmer in the Deli sandwich shop sells two kinds of sandwich: tuna melts and veggie melts. Each customer buys exactly one sandwich. If there were 300 customers yesterday, what fraction of veggie melts sold yesterday were bought by female customers?
(1) 1/2 of all sandwiches sold yesterday were tuna melts, and 1/3 of all customers yesterday were male.
(2) Yesterday, twice as many tuna melts were bought by females as there were veggie melts bought by males.
Guys ,
It is given that total customer is 300 and each customer buys exactly one sandwich.
In statement 1- it is given that 1/3 were male so Male =300*1/3 = 100 then Female will be 200
and 1/2 sold tuna melt sandwich then 1/2 sold veggie melt so 150 sandwich sold tuna and 150 sandwich sold veggie. By this statement we can find the Veggie melt/Female i.e. 150/200.
So OAC
Pls correct me if i m wrong.
sandwich
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It seems that you have misunderstood the question here. It's not asking for the ratio of veggie melts to females. It's asking for the fraction of veggie melts that were bought by females. Meaning - out of those 150 veggie melts, what proportion was bought by females?and 1/2 sold tuna melt sandwich then 1/2 sold veggie melt so 150 sandwich sold tuna and 150 sandwich sold veggie. By this statement we can find the Veggie melt/Female i.e. 150/200.
The easiest way to approach this problem is by setting up an Overlapping Sets table:
Use the statement information to fill in the table. Our goal is to find the number of veggie melts bought by females out of total veggie melts.
(1) 1/2 of all sandwiches sold yesterday were tuna melts, and 1/3 of all customers yesterday were male.
Not enough information.
(2) Yesterday, twice as many tuna melts were bought by females as there were veggie melts bought by males.
Again, not enough information.
Statements 1 and 2 together:
We can create and solve an equation for the value of veggie melts bought by females, so we have sufficient information.
The answer is C.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
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For more on overlapping sets, see:
https://www.beatthegmat.com/rainbow-trou ... tml#555603
https://www.beatthegmat.com/survery-resu ... tml#576105
https://www.beatthegmat.com/ds-question- ... tml#677080
https://www.beatthegmat.com/rainbow-trou ... tml#555603
https://www.beatthegmat.com/survery-resu ... tml#576105
https://www.beatthegmat.com/ds-question- ... tml#677080
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
GMAT/MBA Expert
- Brent@GMATPrepNow
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I'd like to point out that ceilid's "overlapping sets table" (aka Double Matrix Method) can be used for most questions featuring a population in which each member has two characteristics associated with it.
Here, we have a population of customers, and the two characteristics are:
- male or female
- had tuna melt or had veggie melt
This question type is VERY COMMON on the GMAT, so be sure to master the technique.
To learn more about the Double Matrix Method, watch our free video: https://www.gmatprepnow.com/module/gmat- ... ems?id=919
Once you're familiar with this technique, you can attempt these additional practice questions:
Easy Problem Solving questions
- https://www.beatthegmat.com/the-aam-aadm ... 72242.html
- https://www.beatthegmat.com/finance-majo ... 67425.html
Medium Problem Solving questions
- https://www.beatthegmat.com/probability- ... 73360.html
- https://www.beatthegmat.com/posted-speed ... 72374.html
- https://www.beatthegmat.com/motel-t271938.html
- https://www.beatthegmat.com/of-the-appli ... 70255.html
- https://www.beatthegmat.com/opening-nigh ... 64869.html
- https://www.beatthegmat.com/ds-french-ja ... 22297.html
- https://www.beatthegmat.com/prblem-solving-t279424.html
Difficult Problem Solving questions
- https://www.beatthegmat.com/ratio-problem-t268339.html
- https://www.beatthegmat.com/overlapping- ... 65223.html
- https://www.beatthegmat.com/fractions-t264254.html
- https://www.beatthegmat.com/overlapping- ... 64092.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-2
Easy Data Sufficiency questions
- https://www.beatthegmat.com/for-what-per ... 70596.html
- https://www.beatthegmat.com/ds-quest-t187706.html
Medium Data Sufficiency questions
- https://www.beatthegmat.com/sets-matrix-ds-t271914.html
- https://www.beatthegmat.com/each-of-peop ... 71375.html
- https://www.beatthegmat.com/a-manufacturer-t270331.html
- https://www.beatthegmat.com/in-costume-f ... 69355.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-1
Difficult Data Sufficiency questions
- https://www.beatthegmat.com/double-set-m ... 71423.html
- https://www.beatthegmat.com/sets-t269449.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-3
Cheers,
Brent
Here, we have a population of customers, and the two characteristics are:
- male or female
- had tuna melt or had veggie melt
This question type is VERY COMMON on the GMAT, so be sure to master the technique.
To learn more about the Double Matrix Method, watch our free video: https://www.gmatprepnow.com/module/gmat- ... ems?id=919
Once you're familiar with this technique, you can attempt these additional practice questions:
Easy Problem Solving questions
- https://www.beatthegmat.com/the-aam-aadm ... 72242.html
- https://www.beatthegmat.com/finance-majo ... 67425.html
Medium Problem Solving questions
- https://www.beatthegmat.com/probability- ... 73360.html
- https://www.beatthegmat.com/posted-speed ... 72374.html
- https://www.beatthegmat.com/motel-t271938.html
- https://www.beatthegmat.com/of-the-appli ... 70255.html
- https://www.beatthegmat.com/opening-nigh ... 64869.html
- https://www.beatthegmat.com/ds-french-ja ... 22297.html
- https://www.beatthegmat.com/prblem-solving-t279424.html
Difficult Problem Solving questions
- https://www.beatthegmat.com/ratio-problem-t268339.html
- https://www.beatthegmat.com/overlapping- ... 65223.html
- https://www.beatthegmat.com/fractions-t264254.html
- https://www.beatthegmat.com/overlapping- ... 64092.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-2
Easy Data Sufficiency questions
- https://www.beatthegmat.com/for-what-per ... 70596.html
- https://www.beatthegmat.com/ds-quest-t187706.html
Medium Data Sufficiency questions
- https://www.beatthegmat.com/sets-matrix-ds-t271914.html
- https://www.beatthegmat.com/each-of-peop ... 71375.html
- https://www.beatthegmat.com/a-manufacturer-t270331.html
- https://www.beatthegmat.com/in-costume-f ... 69355.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-1
Difficult Data Sufficiency questions
- https://www.beatthegmat.com/double-set-m ... 71423.html
- https://www.beatthegmat.com/sets-t269449.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-3
Cheers,
Brent