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Graham crackers cost $0.25 per pound and marshmallows cost $0.85 per p
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16 Sep 2021, 09:37
16 Sep 2021, 09:37
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Question Stats:
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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
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Re: Graham crackers cost $0.25 per pound and marshmallows cost $0.85 per p
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16 Sep 2021, 10:08
16 Sep 2021, 10:08
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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
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