A man spends $48 to buy 6 hamburgers and 8 colas for his office workers. The next day, he buys 5 hamburgers and 4

Expert replies

Previous Topic Next Topic

BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Sun Jul 25, 2021 8:14 pm

Timer

00:00

Your answer

Difficulty–

right wrong

Pick an answer to see how members did

A man spends $48 to buy 6 hamburgers and 8 colas for his office workers. The next day, he buys 5 hamburgers and 4 colas and spends $32. Assuming the prices of hamburgers and colas remain constant, what is the price of one hamburger and one cola?

A. $6
B. $7
C. $8
D. $9
E. $10

OA B

Source: EMPOWERgmat

Source: Beat The GMAT — Problem Solving | Sun Jul 25, 2021 8:14 pm

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: A man spends $48 to buy 6 hamburgers and 8 colas for his office workers. The next day, he buys 5 hamburgers and 4

by Brent@GMATPrepNow » Mon Jul 26, 2021 5:28 am

BTGmoderatorDC wrote: ↑
Sun Jul 25, 2021 8:14 pm
A man spends $48 to buy 6 hamburgers and 8 colas for his office workers. The next day, he buys 5 hamburgers and 4 colas and spends $32. Assuming the prices of hamburgers and colas remain constant, what is the price of one hamburger and one cola?

A. $6
B. $7
C. $8
D. $9
E. $10

OA B

Source: EMPOWERgmat

Let H = price of one hamburger
Let C = price of one cola

A man spends $48 to buy 6 hamburgers and 8 colas for his office workers.
6H + 8C = 48

The next day, he buys 5 hamburgers and 4 colas and spends $32.
5H + 4C = 32

Assuming the prices of hamburgers and colas remain constant, what is the price of one hamburger and one cola?
We have:
6H + 8C = 48
5H + 4C = 32

Take TOP equation and divide both sides by 2 to get:
3H + 4C = 24
5H + 4C = 32

Subtract the bottom equation from the top equation to get: -2H = -8
Solve: H = 4

Now plug H = 4 into 3H + 4C = 24 to get: 3(4) + 4C = 24
Simplify: 12 + 4C = 24
So: 4C = 12
Solve: C = 3

So the price of one hamburger and one cola = H + C = 4 + 3 = $7

Answer: B

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: A man spends $48 to buy 6 hamburgers and 8 colas for his office workers. The next day, he buys 5 hamburgers and 4

by swerve » Mon Jul 26, 2021 11:54 am

BTGmoderatorDC wrote: ↑
Sun Jul 25, 2021 8:14 pm
A man spends $48 to buy 6 hamburgers and 8 colas for his office workers. The next day, he buys 5 hamburgers and 4 colas and spends $32. Assuming the prices of hamburgers and colas remain constant, what is the price of one hamburger and one cola?

A. $6
B. $7
C. $8
D. $9
E. $10

OA B

Source: EMPOWERgmat

Let price of one hamburger be $x$ and that of cola be $y$

$6x+8y=48 \Rightarrow 3x+4y=24 \qquad (1)$

$5x+4y=32 \qquad (2)$

Subtracting equation $(1)$ from $(2)$ to get $2x=8$ or $x=4$

Substituting the value of $x$ in any equation $((1)$ or $(2))$, we get $y=3$

Hence, $x+y=4+3=7$

Therefore, B

Featured schoolRound 2 closes Jan 7, 2027 54 days left

Chicago Booth

Since 1982, 10 Booth faculty members have received the Nobel Prize in Economic Sciences, more than any other business school.

#3
U.S. News rank: $175,000
Median base salary: 670
Average GMAT Focus: 635
Students in the class

Apply to Booth Visit chicagobooth.edu See the full profile

Photo: Warren LeMay, CC BY-SA 2.0

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review