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The ratio of blue to black jeans at a certain shop is 15:16. If there
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01 Feb 2021, 05:57
01 Feb 2021, 05:57
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The ratio of blue to black jeans at a certain shop is 15:16. If there were 35 additional black jeans in the shop, the ratio of blue to black jeans would be 15:21. How many blue jeans does the shop have?
A) 100
B) 103
C) 105
D) 107
E) 110
Kudos for the right answer and explanation
A) 100
B) 103
C) 105
D) 107
E) 110
Kudos for the right answer and explanation
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The ratio of blue to black jeans at a certain shop is 15:16. If there
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01 Feb 2021, 06:45
01 Feb 2021, 06:45
1
Carcass wrote:
The ratio of blue to black jeans at a certain shop is 15:16. If there were 35 additional black jeans in the shop, the ratio of blue to black jeans would be 15:21. How many blue jeans does the shop have?
A) 100
B) 103
C) 105
D) 107
E) 110
Kudos for the right answer and explanation
A) 100
B) 103
C) 105
D) 107
E) 110
Kudos for the right answer and explanation
We can actually solve this question WITHOUT using the information in the second sentence.
The ratio of blue to black jeans at a certain shop is 15:16
There are many possibilities. Here are a few:
- There are 15 blue jeans and 16 black jeans
- There are 30 blue jeans and 32 black jeans
- There are 45 blue jeans and 48 black jeans
- There are 60 blue jeans and 64 black jeans
- There are 75 blue jeans and 80 black jeans
etc
Notice that, since the number of each type of jeans must be an INTEGER, the number of blue jeans must be a multiple of 15
Check the answer choices....only one answer choice is a multiple of 15
Answer: C
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The ratio of blue to black jeans at a certain shop is 15:16. If there
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01 Feb 2021, 10:03
01 Feb 2021, 10:03
3
Hi,
As the number of blue jeans is the same, we can directly find the difference between the two ratios of black jeans i.e. 21-16=5.
Thus, there is a change in ratio of 5 when 35 additional jeans are added.
Hence a change in ratio of 1=7
Therefore, 15 blue jeans=7*15=105
IMO C
As the number of blue jeans is the same, we can directly find the difference between the two ratios of black jeans i.e. 21-16=5.
Thus, there is a change in ratio of 5 when 35 additional jeans are added.
Hence a change in ratio of 1=7
Therefore, 15 blue jeans=7*15=105
IMO C
