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# A steel bar 135 inches long will be cut into a num

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A steel bar 135 inches long will be cut into a num [#permalink]  15 Aug 2017, 01:28
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Question Stats:

82% (01:18) correct 17% (00:53) wrong based on 47 sessions

A steel bar 135 inches long will be cut into a number of 5-inch and 7-inch seg­ments, with no part of the original steel bar left over.

 Quantity A Quantity B The minimum possible number of 5-inch pieces 5

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.
[Reveal] Spoiler: OA

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Re: A steel bar 135 inches long will be cut into a num [#permalink]  28 Sep 2017, 08:55
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Not the fastest way to solve it but it's a try.

We can rewrite the statement as an equation $$135 = 7x + 5y$$. Then, we can solve for x, the number of 7-long pieces as $$x = \frac{5}{7}(27-y)$$. Then, we can try to substitute various values of y in order to get the smallest value for y so that x is an integer. This will lead to getting that with y = 6, x = 15. Thus, the minimal value of 5-long pieces is 6. Answer A!
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Re: A steel bar 135 inches long will be cut into a num [#permalink]  28 Sep 2017, 09:23
1
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Carcass wrote:
A steel bar 135 inches long will be cut into a number of 5-inch and 7-inch seg­ments, with no part of the original steel bar left over.

 Quantity A Quantity B The minimum possible number of 5-inch pieces 5

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.

If we can divide 135 by 5 and 7 and the result sum up to 135

1. when 7*0 then 5*27 i.e 0+135 =135

2. when 7*5 then 5*20 i.e 35+100 = 135

3. when 7*10 then 5*13 i.e 70+65 =135

4. when 7*15 then 5*6 i.e 105+30 =135

No other possible option available so QTY A is 6, which is > QTY B
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Re: A steel bar 135 inches long will be cut into a num [#permalink]  19 Feb 2018, 06:09
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We can simply form an equation like:
5*x+7*y=135 or, 5*x+7*15=135 or, 5*x=30 or, x=6 [Here, we count for the largest value of 7-inch seg­ments so that we can get the minimum number of 5-inch segments]
Re: A steel bar 135 inches long will be cut into a num   [#permalink] 19 Feb 2018, 06:09
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