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guddo
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A piece of tape 14 inches long was cut into two pieces. If the length 22 May 2024, 07:29
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C
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5% (low)

Question Stats:

89% (01:28) correct 11% (01:40) wrong based on 598 sessions

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­A piece of tape 14 inches long was cut into two pieces. If the length of the shorter piece was \(\frac{2}{3}\) the length of the longer piece, how many inches long was the shorter piece?

A. 4.2
B. 4.7
C. 5.6
D. 6.0
E. 9.3
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C
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Apk641
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A piece of tape 14 inches long was cut into two pieces. If the length 10 Sep 2024, 06:21
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Lets make two formulas

E1. S+L=14

E2. S=2/3L-----L=3/2S (flipped the formula around since we are plugging this in to solve for S)

Now plug in S+3/2S=14
5S=28
S=5.6

Answer is 5.6
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chetan2u
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A piece of tape 14 inches long was cut into two pieces. If the length 22 May 2024, 10:16
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guddo
­A piece of tape 14 inches long was cut into two pieces. If the length of the shorter piece was \(\frac{2}{3}\) the length of the longer piece, how many inches long was the shorter piece?

A. 4.2
B. 4.7
C. 5.6
D. 6.0
E. 9.3
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­We can create two equations from the given information..
­A piece of tape 14 inches long was cut into two pieces. =>
Let the smaller one be s and larger l, so \(s+l = 14\)...(i)

The length of the shorter piece was \(\frac{2}{3}\) the length of the longer piece. =>
So, \(s = \frac{2}{3} l..........l=\frac{3}{2} s\)....(ii)

Substituting the value of l from (ii) in (i) = > \(s+\frac{3}{2}s=14......\frac{5}{2 }s=14.......s=14*\frac{2}{5}=2.8*2 = 5.6\)

C
­
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A piece of tape 14 inches long was cut into two pieces. If the length 15 Oct 2024, 14:20
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The above answers are plenty and easy and fast and more extensible but if you want to be extra speedy due to the answers given here you can see that with 5 total parts of rope (2/3 short 3/3 long) and that 14/5 is going to be a tad less than 3 (2.8) its immediately clear that 2 parts is going to be between 4 and 6 which leaves only C.
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ManifestDreamMBA
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A piece of tape 14 inches long was cut into two pieces. If the length 12 Jan 2025, 06:54
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Just to add to this. Another way to reach the solution after we have calculated 2.8. The short one is 0.5 parts (=(3-2)/2) which is 2.8/2 = 1.4), less than the mid point (7). So, short one is 7 - 1.4 = 5.6
colehpage
The above answers are plenty and easy and fast and more extensible but if you want to be extra speedy due to the answers given here you can see that with 5 total parts of rope (2/3 short 3/3 long) and that 14/5 is going to be a tad less than 3 (2.8) its immediately clear that 2 parts is going to be between 4 and 6 which leaves only C.
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