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From a 20-foot roll of rubber hose, a person cuts lengths of 7 3/8 feet, 7 1/2 feet, and 2 1/4 feet. How much hose is left on the roll?The amount of hose left on the roll is ___ feet.

Sagot :

The amount of hose left on the roll will be

[tex]=\text{amount originally on the hose - the amount of hose cut out}[/tex]

The amount of hose before usage = 20 feet

The amount cut out is

[tex]\begin{gathered} =7\frac{3}{8}ft+7\frac{1}{2}ft+2\frac{1}{4}ft \\ =7+7+2+\frac{3}{8}+\frac{1}{2}+\frac{1}{4} \\ =16+\frac{3+4+2}{8} \\ =16+\frac{9}{8} \\ =16+1\frac{1}{8} \\ =17\frac{1}{8}ft \end{gathered}[/tex]

The amount left remaning will be

[tex]\begin{gathered} 20ft-17\frac{1}{8ft} \\ =\frac{20}{1}ft-\frac{137}{8}\text{ft} \\ =\frac{160-137}{8}ft \\ =\frac{23}{8}ft \\ =2\frac{7}{8}ft \end{gathered}[/tex]

Hence ,

The amount of rubber hose left after cutting out from it is

[tex]=2\frac{7}{8}ft[/tex]

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