$Find the total saving of a boy whose monthly income is (5 y + 9 x) and expenditure for four consecutive weeks are (4 x - 6 y), (6 x + 2 y), (4 y - x), and (y - 2 x) .$

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Solution

$Given that,$
$Total monthly income of the boy = (5 y + 9 x)$

$Total monthly expenditure = (4 x - 6 y) + (6 x + 2 y) + (4 y - x) + (y - 2 x)$

Grouping and adding all the like terms,
$(4 x + 6 x - x - 2 x) + (- 6 y + 2 y + 4 y + y) = (7 x + y)$

$Now, the total monthly saving of the boy = Total monthly income - Total monthly expenditure$
$= (9 x + 5 y) - (7 x + y) = (2 x + 4 y)$

$So, the monthly saving of the boy is (2 x + 4 y) .$

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