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BECE Mathematics 2010 Paper

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Question : 4

Total: 40

The sum of 5 and

x

divided by 4 is equal to 3.25 . Find the value of

x

8
7
$2\;\frac{1}{4}$
$\;\;-3\;\frac{4}{13}$

Solution:

Concept:

Translate the word statement into an equation and solve for

x

.

Explanation:

The sum of

5

and

x

means

5 + x

.

Dividing this sum by

4

gives

\frac{5+x}{4}

.

The equation is:

\frac{5+x}{4} = 3.25

.

Write

3.25

as a fraction:

3.25 = \frac{325}{100}

.

So,

\frac{5+x}{4} = \frac{325}{100}

.

Cross-multiply:

100(5+x) = 4 \times 325

.

This gives

500 + 100x = 1300

.

Subtract

500

from both sides:

100x = 800

.

Divide both sides by

100

:

x = 8

.

Answer:

x = 8

, which is option A.

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