Question

4 . The storekeeper sold 91 yards from a piece of material containing 53 yards. How much was left in the original piece?

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Answer 1

There are 37/4 yards of material left from the original piece, which is equivalent to 9 1/4 yards.

The storekeeper sold 9 1/4 yards from a piece of material that originally contained 53 yards.

To find out how much material is left, subtract the amount sold from the original length:

`\[ 53 - 9 (1)/(4) \]`

To perform this subtraction, convert the mixed number (9 1/4) to an improper fraction. The result is:

`\[ 53 - (37)/(4) \]`

To subtract, find a common denominator, which in this case is 4:

`\[ (212)/(4) - (37)/(4) \]`

Combine the numerators and keep the denominator:

`\[ (175)/(4) \]\\`

Now, simplify the fraction:

`\[ 53 - (175)/(4) \]`

To simplify further, find a common denominator of 4:

`\[ (212 - 175)/(4) \]\\`

`\[ (37)/(4) \]`

Therefore, there are 37/4 yards of material left from the original piece, which is equivalent to 9 1/4 yards.

The probable question may be:

The storekeeper sold 9 (1) (4) yards from a piece of material containing 53 yards. How much was left in the original piece?

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