GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2019, 08:04 GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Show Tags

1 00:00

Difficulty:   25% (medium)

Question Stats: 81% (01:28) correct 19% (01:31) wrong based on 36 sessions

HideShow timer Statistics

An electronics distributor receives $75 for every DVD player he ships and$125 for every television he ships. How many DVD players did he ship last month?

(1) Last month the number of DVD players shipped was 40 less than twice the number of televisions shipped.

(2) Last month the distributor shipped a total value of $24,500 in DVD players and television sets. Source: McGraw-Hill's GMAT (1-23) _________________ Intern  B Joined: 20 Sep 2018 Posts: 3 Location: India Schools: EDHEC GMAT 1: 460 Q42 V14 Re: An electronics distributor receives$75 for every DVD player he ships  [#permalink]

Show Tags

An electronics distributor receives $75 for every DVD player he ships and$125 for every television he ships. How many DVD players did he ship last month?

(1) If d is the number of DVD players shipped and t is the number of TVs shipped, then we get :

d= 2t-40 from (1) ; Can't find d with t unknown.
NOT SUFFICIENT.

(2) The total sale from both DVDs and TVs was $24,500. We can form a simultaneous equation 75d + 125t = 24,500. When simplified we get, 3d+5t = 980 However, we can't find d here as well as t is unknown. NOT SUFFICIENT. Combining (1) and (2), we can solve the equation by substituting the equation obtained in (1) in the simultaneous equation to arrive at d. |Ans: (C) Math Revolution GMAT Instructor V Joined: 16 Aug 2015 Posts: 8017 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: An electronics distributor receives$75 for every DVD player he ships  [#permalink]

Show Tags

An electronics distributor receives $75 for every DVD player he ships and$125 for every television he ships. How many DVD players did he ship last month?

(1) Last month the number of DVD players shipped was 40 less than twice the number of televisions shipped.

(2) Last month the distributor shipped a total value of $24,500 in DVD players and television sets. Source: McGraw-Hill's GMAT (1-23) Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Visit https://www.mathrevolution.com/gmat/lesson for details. The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We should simplify conditions if necessary. Assume $$d$$ is the number of DVD players shipped and $$t$$ is the number of TV shipped. Since we have 2 variables ($$d$$ and $$t$$) and 0 equations, C is most likely the answer. So, we should consider conditions 1) & 2) together first. After comparing the number of variables and the number of equations, we can save time by considering conditions 1) & 2) together first. Conditions 1) & 2) We have $$d = 2t - 40$$ from condition 1) and $$75d + 125t = 24500$$ from condition 2). $$75d + 125t = 24500$$ $$⇔ 75(2t-40) + 125t = 24500$$ $$⇔ 275t - 3000 = 24500$$ $$⇔ 275t = 27500$$ $$⇔ t = 100$$ Then we have $$75d + 12500 = 24500$$ or $$75d = 12000$$ and $$d = 160$$. Since both conditions together yield a unique pair of solution $$t = 100$$ and $$d = 160$$, they are sufficient. Since this question is an integer question (one of the key question areas), CMT (Common Mistake Type) 4(A) of the VA (Variable Approach) method tells us that we should also check answers A and B. Condition 1) Since $$d = 2t - 40$$ does not yield a unique solution obviously, condition 1) is not sufficient. Condition 2) $$75d + 125t = 24500$$ If $$d = 10$$, then we have $$5t = 4900 - 30 = 4870$$ and $$t = 974$$. If $$d = 20$$, then we have $$5t = 4900 - 60 = 4840$$ and $$t = 968$$. We found two pairs of solutions $$(d,t) = (10,974)$$ or $$(d,t) = (20,968)$$. Since condition 2) does not yield a unique solution, it is not sufficient. Therefore, C is the answer. Normally, in problems which require 2 equations, such as those in which the original conditions include 2 variables, or 3 variables and 1 equation, or 4 variables and 2 equations, each of conditions 1) and 2) provide an additional equation. In these problems, the two key possibilities are that C is the answer (with probability 70%), and E is the answer (with probability 25%). Thus, there is only a 5% chance that A, B or D is the answer. This occurs in common mistake types 3 and 4. Since C (both conditions together are sufficient) is the most likely answer, we save time by first checking whether conditions 1) and 2) are sufficient, when taken together. Obviously, there may be cases in which the answer is A, B, D or E, but if conditions 1) and 2) are NOT sufficient when taken together, the answer must be E. _________________ Re: An electronics distributor receives$75 for every DVD player he ships   [#permalink] 25 Sep 2019, 13:04
Display posts from previous: Sort by

An electronics distributor receives \$75 for every DVD player he ships

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  