A magazine stand owner sells cups of coffee, newspapers, and packs ofgum. Compared to the number of cups of coffee he sells, he sells twice as many packs of gum, and three times as many newspapers. If he charges $1.25 for a cup of coffee, $.50 for a newspaper, and $.35 for a pack of gum, and sells no other items, which of the following could be the amount of his total gross sales on a given day?
I.$345.00
II.$58.65
III.$22.15
A. I only
B. I + II only
C. I + III only
D. II and III only
E. I, II and III only
Which of the choices is the best answer? Can some experts show me the correct solution?
OA B
A magazine stand owner sells cups of coffee
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
GMAT/MBA Expert
- Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
On a ratio scale, the number of coffee, gums, and newspapers are 1, 2, and 3, respectively.lheiannie07 wrote:A magazine stand owner sells cups of coffee, newspapers, and packs of gum. Compared to the number of cups of coffee he sells, he sells twice as many packs of gum, and three times as many newspapers. If he charges $1.25 for a cup of coffee, $.50 for a newspaper, and $.35 for a pack of gum, and sells no other items, which of the following could be the amount of his total gross sales on a given day?
I.$345.00
II.$58.65
III.$22.15
A. I only
B. I + II only
C. I + III only
D. II and III only
E. I, II and III only
Which of the choices is the best answer? Can some experts show me the correct solution?
OA B
Gross sales on ratio scale = 1.25*1 + 0.35*2 + 0.50*3 = 1.25 + 0.70 + 1.50 = $3.45.
The gross sales would a multiple of $3.45. For example, 3.45; 2*3.45 = 6.90; 3*3.45 = 10.35 etc...
We need to see which of the given three figures I. $345.00; II. $58.65; and III. $22.15 is/are multiple of $3.45. This calls for a hit and trial. We see that I. #345 is 100*3.45, so this is correct. Similarly, $58.65/$3.45 = 17, an integer, so II is also correct. But $22.15/$3.45 = between 6 and 7, not an integer. So, only $345 and $58.65 can be possible gross sales.
The correct answer: B
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: New York | Singapore | Doha | Lausanne | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7244
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We can let the number of packs of gum = g, the number of newspapers = n, and the number of cups of coffee = c, and create the equations:lheiannie07 wrote:A magazine stand owner sells cups of coffee, newspapers, and packs ofgum. Compared to the number of cups of coffee he sells, he sells twice as many packs of gum, and three times as many newspapers. If he charges $1.25 for a cup of coffee, $.50 for a newspaper, and $.35 for a pack of gum, and sells no other items, which of the following could be the amount of his total gross sales on a given day?
I.$345.00
II.$58.65
III.$22.15
A. I only
B. I + II only
C. I + III only
D. II and III only
E. I, II and III only
2c = g
and
3c = n
We need to determine the value of:
1.25c + 0.5n + 0.35g
Substituting, we have:
1.25c + 0.5(3c) + 0.35(2c)
1.25c + 1.5c + 0.7c
3.45c = ?
Now let's check which Roman numerals is an integer multiple of 3.45.
I.$345.00
Since 345/3.45 = 100, we see that I could be the total gross sales.
II.$58.65
Since 58.65/3.45 = 17, we see that II could be the total gross sales.
III.$22.15
Since 22.15/3.45 = 6.42, we see that III could NOT be the total gross sales.
Answer: B
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews