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A ribbon 40 inches
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16 Jan 2018, 12:47
16 Jan 2018, 12:47
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Question Stats:
82% (00:29) correct
17% (00:44) wrong based on 85 sessions
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A ribbon 40 inches long is cut into three parts in the ratio of \(2:3:5\).
Quantity A |
Quantity B |
The length of the longest part of the ribbon |
20 inches |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Kudos for right answer and explanation
Re: A ribbon 40 inches
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26 Jan 2018, 11:43
26 Jan 2018, 11:43
2
40=2x+3x+5x
40=10x
X=4
So the length of the longest part of the ribbon is 20
_________________
This is my response and may be incorrect. Feel free to rectify any mistakes
40=10x
X=4
So the length of the longest part of the ribbon is 20
_________________
This is my response and may be incorrect. Feel free to rectify any mistakes
Re: A ribbon 40 inches
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01 Jan 2021, 12:39
01 Jan 2021, 12:39
1
2x:3x:5x=10x
Being in a ratio of 2:3:5=10 means that the true value of the ribbon can be any multiple of the numbers 2,3, & 5.
For example, you can multiply each term by 4 resulting in
2(x):3(x):5(x)=10(x)
2(4):3(4):5(4)=10(4)
8 : 12 : 20 = 40
In this case the total length of the ribbon is 40.
Seeing that 10 is the total in the given ratio Multiplying 10 by 4 to get 40 is the key. Multiply each term in the given ration by 4 and you will arrive at 20 as the longest part of the ribbon.
Being in a ratio of 2:3:5=10 means that the true value of the ribbon can be any multiple of the numbers 2,3, & 5.
For example, you can multiply each term by 4 resulting in
2(x):3(x):5(x)=10(x)
2(4):3(4):5(4)=10(4)
8 : 12 : 20 = 40
In this case the total length of the ribbon is 40.
Seeing that 10 is the total in the given ratio Multiplying 10 by 4 to get 40 is the key. Multiply each term in the given ration by 4 and you will arrive at 20 as the longest part of the ribbon.
