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QOTD#28 A jar contains only marbles of three different color
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31 May 2017, 06:29
31 May 2017, 06:29
Expert Reply
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Question Stats:
60% (01:20) correct
40% (01:14) wrong based on 30 sessions
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A jar contains only marbles of three different colors: red, green, and yellow. The red and green marbles are in a ratio of 2:5, and the yellow and red marbles are in a ratio of 5:6. Which of the following could be the total number of marbles?
Indicate all the options
A. 13
B. 24
C. 52
D. 90
E. 134
F. 182
Indicate all the options
A. 13
B. 24
C. 52
D. 90
E. 134
F. 182
Drill 2
Question: 5
Page: 341
Question: 5
Page: 341
Re: QOTD#28 A jar contains only marbles of three different color
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04 Jun 2017, 15:29
04 Jun 2017, 15:29
Expert Reply
Explanation
Since red is common to the given ratios, you’ll want to multiply the red:green ratio by 3 so that red is 6 in both. Now you can put it all together in one ratio—red:green:yellow = 6:15:5.
More importantly, you can put them in one Ratio Box:
DI Upload.jpg [ 10.92 KiB | Viewed 6185 times ]
No need to finish the rest of the Ratio Box—you have all you need. Look for answer choices that are multiples of 26. Only choices C and F work.
Since red is common to the given ratios, you’ll want to multiply the red:green ratio by 3 so that red is 6 in both. Now you can put it all together in one ratio—red:green:yellow = 6:15:5.
More importantly, you can put them in one Ratio Box:
Attachment:
DI Upload.jpg [ 10.92 KiB | Viewed 6185 times ]
No need to finish the rest of the Ratio Box—you have all you need. Look for answer choices that are multiples of 26. Only choices C and F work.
Re: QOTD#28 A jar contains only marbles of three different color
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11 Jan 2019, 22:46
11 Jan 2019, 22:46
1
Expert Reply
This may be a bit of steps but it will always lead you to the right answer.
R/G= 2/5
Y/R= 5/6
R=R
since they give us everything in terms of Red, the write All other colors in terms of Red
Then
G=5R/2
Y=5R/6
R=R
R+G+Y= 5R/2 + 5R/6 + R
Multiply everything by 6 to clear the denominators, and you get
6R + 15R + 5R= 26R
then total marbles ahve to be a multiple of 26,
thus we choose C and F
R/G= 2/5
Y/R= 5/6
R=R
since they give us everything in terms of Red, the write All other colors in terms of Red
Then
G=5R/2
Y=5R/6
R=R
R+G+Y= 5R/2 + 5R/6 + R
Multiply everything by 6 to clear the denominators, and you get
6R + 15R + 5R= 26R
then total marbles ahve to be a multiple of 26,
thus we choose C and F
