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A 48-foot rope is cut into three lengths.  The second length of trope is twice the frist length.  The third length of rope is one fifth the first length.  What is the third length?

Feb 19, 2020

#1
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A 48-foot rope is cut into three lengths. The second length of trope is twice the frist length. The third length of rope is one fifth the first length. What is the third length?

Hello Guest!

$$x+2x+\frac{x}{5}=48\\ \frac{5x+10x+x}{5}=48\\ 16x =48\cdot 5\\ x=15$$

$$The\ third\ length\ is \ \frac{15}{5}ft=3ft$$

!

Feb 19, 2020
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The rope should be cut according to this ratio:       1 : 5 : 10

Therefore, the length of the 3rd rope is:            48 / 16 = 3 ft

Feb 19, 2020