BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

How many cans of orange concentrate???

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Thu Oct 24, 2013 10:05 pm

How many cans of orange concentrate???

by sbhawal » Fri Nov 29, 2013 12:07 am
I came across this problem while solving the GMAT Prep

Question: If 1 can of orange concentrate requires 3 can of water to make orange juice. How many 12 ounce cans of orange concentrate are required to prepare 200 6 ounce serving of orange juice?
A. 25
B. 34
C. 50
D. 67
E. 100

Answer: A

Pls help me with this question!
Top
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Fri Nov 29, 2013 1:03 am
sbhawal wrote:I came across this problem while solving the GMAT Prep

Question: If 1 can of orange concentrate requires 3 can of water to make orange juice. How many 12 ounce cans of orange concentrate are required to prepare 200 6 ounce serving of orange juice?
A. 25
B. 34
C. 50
D. 67
E. 100

Answer: A

Pls help me with this question!
Concentrate (C) Water (W)

The ratio C to W is 1 to 3 in the prepared orange juice. Hence, if x number of 12-ounce cans of C are required to prepare 200 6 ounce serving of orange juice, then the total orange juice made will be 200 times 6 or 1200 ounce. In those 1200 ounces, 1part is C, and 3 parts W. Means 300 ounces of C and 900 ounces of W.

Now ask over how many 12 ounce cans of orange concentrate are required. Just divide 300 by 12 to answer [spoiler]25.


Take A[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 490
Joined: Thu Jul 04, 2013 7:30 am
Location: Chennai, India
Thanked: 83 times
Followed by:5 members

by Uva@90 » Fri Nov 29, 2013 4:45 am
Hi Sbhawal,

What given in the question is,

1 can of Orange Concentrate + 3 can of water = 4 can of orange Juice

What we asked to find is,
for 1200 ounce of orange juice how many 12 ounce of orange concentrate are required.

Multiply first equation by 300

300 can of orange concentrate + 900 can of water = 1200 can of orange juice

300/12 = 25

Hence answer is A

Regards,
Uva.
Known is a drop Unknown is an Ocean
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Fri Nov 29, 2013 5:38 am
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepate 200 6-ounce servings of orange juice?

A) 25
B) 34
C) 50
D) 67
E) 100
Total = 200 6-ounce servings = 200*6 = 1200 ounces.
Since each can = 12 ounces, the total = 1200/12 = 100 cans.
In these 100 cans of mixture, since concentrate:water = 1:3 and 1+3=4, concentrate/total = 1/4.
Thus, in the 100 cans of mixture, the number of cans of concentrate = (1/4)100 = 25.

The correct answer is A.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Fri Nov 29, 2013 7:06 am
sbhawal wrote: If 1 can of orange concentrate requires 3 can of water to make orange juice. How many 12 ounce cans of orange concentrate are required to prepare 200 6 ounce serving of orange juice?
A. 25
B. 34
C. 50
D. 67
E. 100
Here's a slightly different approach that uses equivalent ratios.

The first part tells that, for every 1 can of concentrate, we can make 4 cans of juice.
Let's be even more generic, for 1 volume of concentrate, we can make 4 volumes of juice.

Okay, now notice that we have a problem with the volume mismatch in the question. It involves 12-ounce cans of concentrate and 6-ounce servings.
So, let's reword the question. Instead of making 200 6-ounce servings of juice, let's make 100 12-ounce servings of juice. This is acceptable since we're still making the same amount of juice!

We're now asking, "How many 12-ounce cans of the concentrate are required to prepare 100 12-ounce serving of orange juice?

We'll solve this question using equivalent ratios.

(volume of concentrate)/(volume of juice): 1/4 = x/100

Solve for x to get [spoiler]x = 25[/spoiler]
So, the answer is A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Master | Next Rank: 500 Posts
Posts: 447
Joined: Fri Nov 08, 2013 7:25 am
Thanked: 25 times
Followed by:1 members

by Mathsbuddy » Fri Nov 29, 2013 7:14 am
Using ratios:

Orange:Water:Total
1:3:4
x 50 becomes
50:150:200 (6 oz servings)
25:75:60 (12oz servings)

So answer = 25
Top
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Thu Oct 24, 2013 10:05 pm

by sbhawal » Fri Nov 29, 2013 8:29 am
Thanks Brent!!
Your explanation worked the best for me.


Brent@GMATPrepNow wrote:
sbhawal wrote: If 1 can of orange concentrate requires 3 can of water to make orange juice. How many 12 ounce cans of orange concentrate are required to prepare 200 6 ounce serving of orange juice?
A. 25
B. 34
C. 50
D. 67
E. 100
Here's a slightly different approach that uses equivalent ratios.

The first part tells that, for every 1 can of concentrate, we can make 4 cans of juice.
Let's be even more generic, for 1 volume of concentrate, we can make 4 volumes of juice.

Okay, now notice that we have a problem with the volume mismatch in the question. It involves 12-ounce cans of concentrate and 6-ounce servings.
So, let's reword the question. Instead of making 200 6-ounce servings of juice, let's make 100 12-ounce servings of juice. This is acceptable since we're still making the same amount of juice!

We're now asking, "How many 12-ounce cans of the concentrate are required to prepare 100 12-ounce serving of orange juice?

We'll solve this question using equivalent ratios.

(volume of concentrate)/(volume of juice): 1/4 = x/100

Solve for x to get [spoiler]x = 25[/spoiler]
So, the answer is A

Cheers,
Brent
Top
Post new topic Post Reply
• Page 1 of 1