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WAEC Mathematics 2022 Paper

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Question : 14

Total: 47

Mary has \

\text{3.00 more than Ben but \\}

5.00 less than Jane. If Mary has \$ x, how much does Jane and Ben have altogether?

$\$(2x-8)$
$\$(2x+8)$
$\$(2x-2)$
$\$(2x+2)$

Solution:

Concept:

Translate the given money relationships into algebraic equations using

x

for Mary's amount.

Explanation:

Let Mary's amount be

m = x

.

Mary has \

3.00 more than Ben: < br> < br>

x = \text{Ben} + 3

, so

\text{Ben} = x - 3

. < br> < br>Mary has \$5.00 less than Jane: < br> < br>

x = \text{Jane} - 5

, so

\text{Jane} = x + 5

. < br> < br>Add Ben's and Jane's amounts: < br> < br>

(x - 3) + (x + 5) = 2x + 2

. < br> < br>Therefore, Jane and Ben together have \$

(2x + 2)

. < br> < br> < b>Answer:</b> < br>D. \$

(2x + 2)$

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