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BECE Mathematics 2010 Paper

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Question : 10

Total: 40

Find how many pieces of cloth

5 \frac{1}{2} \text{m}

long that can be cut from a roll of cloth 121 m long.

$665 \frac{1}{2}$
$115 \frac{1}{2}$
66
22

Solution:

Concept:

Number of pieces

= \frac{\text{Total length of roll}}{\text{Length of one piece}}

.

Explanation:

Convert the mixed fraction length into an improper fraction.

5\frac{1}{2} = \frac{5 \times 2 + 1}{2} = \frac{11}{2} \text{ m}

.

Total length of the cloth roll is

121 \text{ m}

.

Number of pieces

= 121 \div \frac{11}{2}

.

To divide by a fraction, multiply by its reciprocal.

Number of pieces

= 121 \times \frac{2}{11}

.

Cancel common factor:

121 \div 11 = 11

.

So, number of pieces

= 11 \times 2 = 22

.

Answer:

Option D. 22

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