GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Graham crackers cost $0.25 per pound and marshmallows cost $0.85 per p
[#permalink]
16 Sep 2021, 09:37
16 Sep 2021, 09:37
Expert Reply
00:00
Question Stats:
84% (01:52) correct
15% (02:38) wrong based on 19 sessions
Hide Show timer Statistics
Graham crackers cost $0.25 per pound and marshmallows cost $0.85 per pound. How many pounds of graham crackers must be added to 25 pounds of marshmallows to arrive at a mixture worth $0.45 a pound?
A. 170
B. 100
C. 60
D. 50
E. 20
A. 170
B. 100
C. 60
D. 50
E. 20
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Graham crackers cost $0.25 per pound and marshmallows cost $0.85 per p
[#permalink]
16 Sep 2021, 10:08
16 Sep 2021, 10:08
1
1
Bookmarks
Carcass wrote:
Graham crackers cost $0.25 per pound and marshmallows cost $0.85 per pound. How many pounds of graham crackers must be added to 25 pounds of marshmallows to arrive at a mixture worth $0.45 a pound?
A. 170
B. 100
C. 60
D. 50
E. 20
A. 170
B. 100
C. 60
D. 50
E. 20
We can treat this question as a weighted averages question.
We'll just say that graham crackers cost an AVERAGE of $0.25 per pound and marshmallows cost an AVERAGE of $0.85 per pound
Weighted Averages Formula
Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ...
For this question, we have: Price per pound of marshmallows and graham crackers combined = (proportion of graham crackers)(price per pound of graham crackers) + (proportion of marshmallows)(price per pound of marshmallows)
If we let G = the number of pounds of graham crackers required, then....
TOTAL weight = 25 + G
So, the PROPORTION of graham crackers = G/(25 + G)
And the PROPORTION of marshmallows = 25/(25 + G)
Now let's plug these values into the formula to get...
$0.45 = [G/(25 + G)][$0.25] + [25/(25 + G)][$0.85]
Eliminate fractions by multiplying both sides by (25 + G) to get: 0.45(25 + G) = 0.25G + (25)(0.85)
Simplify: 11.25 + 0.45G = 0.25G + 21.25
Rearrange: 0.2G = 10
Solve: G = 50
Answer: D
RELATED VIDEO
Graham crackers cost $0.25 per pound and marshmallows cost $0.85 per p
[#permalink]
17 Sep 2021, 03:05
17 Sep 2021, 03:05
1
This is the Easiest Method to solve question of these Types:
Graham crackers cost $0.25
marshmallows cost $0.85
Net Mixture $0.45
so the final ratio in which Graham crackers and marshmallows are to be mixed is (.85-.45)=.4 : (.45-.25) =0.2.
=>2:1 Ratio
i.e, we will mix 2 parts of Graham crackers with 1 parts of marshmallows.
as 25 pounds of marshmallows is used so 2*25=50 parts of Graham Crackers will be used
The Method I applied is using Alligation Concept is listed in these links check them out:
https://bodheeprep.com/mixture-and-alligation
https://www.hitbullseye.com/Quant/Mixtu ... gation.php
Graham crackers cost $0.25
marshmallows cost $0.85
Net Mixture $0.45
so the final ratio in which Graham crackers and marshmallows are to be mixed is (.85-.45)=.4 : (.45-.25) =0.2.
=>2:1 Ratio
i.e, we will mix 2 parts of Graham crackers with 1 parts of marshmallows.
as 25 pounds of marshmallows is used so 2*25=50 parts of Graham Crackers will be used
The Method I applied is using Alligation Concept is listed in these links check them out:
https://bodheeprep.com/mixture-and-alligation
https://www.hitbullseye.com/Quant/Mixtu ... gation.php
Attachments
File comment: Method of Alligation
photo_2021-09-17 16.37.27.jpeg [ 110.71 KiB | Viewed 1893 times ]
