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In a group of hats consisting of only blue hats, green hats, 12 Jul 2014, 07:23
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91% (01:14) correct 9% (01:46) wrong based on 186 sessions

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In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 92 hats in this group, how many of these hats are not blue?

A. 28
B. 42
C. 48
D. 64
E. 76
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D
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In a group of hats consisting of only blue hats, green hats, 12 Jul 2014, 07:45
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Gnpth
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 92 hats in this group, how many of these hats are not blue?

A. 28
B. 42
C. 48
D. 64
E. 76
Show more

Since the hats Blue, Green and Purple are in ratio of 7:4:12...The total no. of balls will be
7x+4x+12x=92 or 23x=92...here 7x,4x and 12x represent hats of each type

23x=92 so x=4...Blue hats =7*4=28...Not blue will be 92-28=64.

Ans D
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In a group of hats consisting of only blue hats, green hats, 12 Jul 2014, 11:34
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Gnpth
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 92 hats in this group, how many of these hats are not blue?

A. 28
B. 42
C. 48
D. 64
E. 76
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B:G:P = 7:4:12 --> total of 23 parts.

Not blue = (G + P)/(total)*92 = 16/23*92 = 64.

Answer: D.
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In a group of hats consisting of only blue hats, green hats, 13 Jul 2014, 10:46
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What is wrong with the following approach, can anyone point out
Let Blue Green and Purple be &x,4x,12x
7x+12x+4x=92, x=4
Not Blue = 4x+12x(green+purple)=16x =48[/b] which is a wrong answer
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In a group of hats consisting of only blue hats, green hats, 13 Jul 2014, 12:36
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@chetan001 : your approach is right, check your calculations.

you calculated x = 4

so 16x = 16 * 4 =64,
you calculated 16*4 as 48. that's why you are wrong.
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In a group of hats consisting of only blue hats, green hats, 27 Dec 2019, 08:20
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What is the average time to arrive at the correct answer? Anyone?
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In a group of hats consisting of only blue hats, green hats, 28 Dec 2019, 21:06
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Gnpth
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 92 hats in this group, how many of these hats are not blue?

A. 28
B. 42
C. 48
D. 64
E. 76
Show more

We can create the equation:

7x + 4x + 12x = 92

23x = 92

x = 4

The number of blue hats is 7 * 4 = 28, and thus the number of hats that are not blue is 92 - 28 = 64.

Answer: D
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In a group of hats consisting of only blue hats, green hats, 18 Dec 2020, 06:54
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Ratio of blue:green:purple = 7:4:12
7+4+12 = Total no of hats = 23 (in this scenario)
If there are 23 hats in total, we know that 7 are blue, 4 are green and 12 are purple.

Similarly, if there are 92 hats in total, the ratio of blue:green:purple will be:
7 --> 23
? <-- 92

=92*7/23 = 28

Similarly, green = 92*4/23 = 16
purple = 92*12/23 = 48

How many hats are not blue?= Sum of green and purple = 64
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In a group of hats consisting of only blue hats, green hats, 28 May 2024, 01:47
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