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23 Apr 2015, 03:47
00:00

Difficulty:

65% (hard)

Question Stats:

55% (02:28) correct 45% (02:15) wrong based on 120 sessions

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Albert spent $100 in total on four different types of scratch tickets, and he did not spend more than$40 on any one type of scratch ticket. How much did he spend on the scratch ticket on which he spent the least?

(1) Albert spent twice as much on C-type tickets as he did on G-type tickets.
(2) Albert spent at least $20 on each type of ticket. Kudos for a correct solution. _________________ Retired Moderator Status: I Declare War!!! Joined: 02 Apr 2014 Posts: 237 Location: United States Concentration: Finance, Economics GMAT Date: 03-18-2015 WE: Asset Management (Investment Banking) Re: Albert spent$100 in total on four different types of scratch tickets,  [#permalink]

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23 Apr 2015, 04:07
Hi,
IMO it should be B
Though I tried to arrive by using number plugging system.
St 1 it could be 10 on G and 20 on C. this makes 30 and we know max was 40. this gives 10+20+40=70 and rest is 30
it could be 5 on g then 10 on c and we know 40 already spent. this gives 55 and rest is 45
so A is ruled out.

St 2. 20 on each atleast. we know 40 already spent. so 20 on rest three. this gives 20* 3 = 60 + 40 =100
So it should be B

Kudos if its a correct solution

Bunuel wrote:
Albert spent $100 in total on four different types of scratch tickets, and he did not spend more than$40 on any one type of scratch ticket. How much did he spend on the scratch ticket on which he spent the least?

(1) Albert spent twice as much on C-type tickets as he did on G-type tickets.
(2) Albert spent at least $20 on each type of ticket. Kudos for a correct solution. Senior Manager Joined: 02 Mar 2012 Posts: 317 Schools: Schulich '16 Re: Albert spent$100 in total on four different types of scratch tickets,  [#permalink]

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23 Apr 2015, 09:27
2
C for me.

1.nr suff
2.nt suffcienr

can be 21,22,23,,34or take any random numbers.

taking both

atleast 20 ..

and we know c=2g
so c=40 and g=20
left with 40 , which has to be 20 20

taking both
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Re: Albert spent $100 in total on four different types of scratch tickets, [#permalink] ### Show Tags 23 Apr 2015, 13:18 Celestial09 wrote: Hi, IMO it should be B Though I tried to arrive by using number plugging system. St 1 it could be 10 on G and 20 on C. this makes 30 and we know max was 40. this gives 10+20+40=70 and rest is 30 it could be 5 on g then 10 on c and we know 40 already spent. this gives 55 and rest is 45 so A is ruled out. St 2. 20 on each atleast. we know 40 already spent. so 20 on rest three. this gives 20* 3 = 60 + 40 =100 So it should be B Kudos if its a correct solution Bunuel wrote: Albert spent$100 in total on four different types of scratch tickets, and he did not spend more than $40 on any one type of scratch ticket. How much did he spend on the scratch ticket on which he spent the least? (1) Albert spent twice as much on C-type tickets as he did on G-type tickets. (2) Albert spent at least$20 on each type of ticket.

Kudos for a correct solution.

We didn't no that he already spent $40. we know only that "he did not spend more than$40 on any one type"
so it can be $25 on each type of stickers. _________________ Manager Joined: 28 Jan 2015 Posts: 127 Concentration: General Management, Entrepreneurship GMAT 1: 670 Q44 V38 Re: Albert spent$100 in total on four different types of scratch tickets,  [#permalink]

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23 Apr 2015, 21:01
Bunuel wrote:
Albert spent $100 in total on four different types of scratch tickets, and he did not spend more than$40 on any one type of scratch ticket. How much did he spend on the scratch ticket on which he spent the least?

(1) Albert spent twice as much on C-type tickets as he did on G-type tickets.
(2) Albert spent at least $20 on each type of ticket. Kudos for a correct solution. I think it is E... Because there is no statement about how many tickets. "four different types of tickets" 1) He spent twice as much on C type than on G type... but maybe he bought 50 C types and 3 G types (??)<- the ratio can be anything 2) He spent at least 20 on each type of ticket: the problem I encounter from above still persists. I think my reasoning here is probably wrong. Because it is lazy and if I just assume there is total 4 tickets I could probably put up an equation. I wish there was no room for interpretation, ever, on the GMAT! I'm a native speaker but often I fail to understand the wording. Manager Joined: 15 May 2014 Posts: 62 Re: Albert spent$100 in total on four different types of scratch tickets,  [#permalink]

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24 Apr 2015, 04:12
1
Total amount spent = $100 Let the four different types of scratch tickets be B-type, C-type, G-type and M-type B $$\leq40$$, C $$\leq40$$, G $$\leq40$$, and M $$\leq40$$ Statement (1): Albert spent twice as much on C-type tickets as he did on G-type tickets. C = 2G Total = B + C + G + M $$100$$ = B + 2G + G + M $$100$$ = B + 3G + M; many possibilities Not Sufficient Statement (2): Albert spent at least$20 on each type of ticket.
$$20\leq$$ B, C, G, M $$\leq40$$; many possibilities
Not Sufficient

From (1) and (2)
Minimum amount = $$20$$; Maximum amount = $$40$$
C = 2G; C = $$40$$, G = $$20$$
$$100$$ = B + 3G + M
B + M = $$100$$ - $$60$$
B + M = $$40$$
Since the minimum amount is $$20$$, then B = M = $$20$$
B = M = G = $$20$$, C = $$40$$; minimum amount spent $$20$$
Sufficient

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Re: Albert spent $100 in total on four different types of scratch tickets, [#permalink] ### Show Tags 27 Apr 2015, 02:41 Bunuel wrote: Albert spent$100 in total on four different types of scratch tickets, and he did not spend more than $40 on any one type of scratch ticket. How much did he spend on the scratch ticket on which he spent the least? (1) Albert spent twice as much on C-type tickets as he did on G-type tickets. (2) Albert spent at least$20 on each type of ticket.

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

Solution: C

Statement (1) doesn’t tell us about the third or fourth type of ticket; INSUFFICIENT. Statement (2) gives a range but no specific values; INSUFFICIENT. Taken together, you can set up the equation that 2G = C (if you double the amount he spent on G-types that equals the amount he spent on C-types), and that then 2G + G + x + y = 100. Since we know that x and y each have to be, at a minimum, $20, that limit helps you get to one exact combination. 3G + 20 + 20 = 100 means that 3G = 60, and that G = 20 and C = 40. And since that's the only way to combine all the terms to get to$100 with a minimum value of $20, you know that he spent$20 on the item on which he spent the least. The answer, thus, is (C).
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05 May 2015, 01:42
Tmoni26 wrote:
Honestly, I done understand why B is not the answer..

If he spends at least $20 on the ticket then$20 is the least possible amount that he spent on the ticket??

Explanations would be welcomed..

When a DS question asks about the value of some variable, then the statement(s) is sufficient ONLY if you can get the single numerical value of this variable.

From (2) it's possible that the prices are 20, 25, 25, 30 OR 25, 25, 25, 25, OR 21, 22, 23, 34, ...
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Re: Albert spent $100 in total on four different types of scratch tickets, [#permalink] ### Show Tags 02 Apr 2018, 04:06 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: Albert spent$100 in total on four different types of scratch tickets, &nbs [#permalink] 02 Apr 2018, 04:06
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