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

(x + 2 y)

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(7 x + y)

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(2 x + y)

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(2 x + 4 y)

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Solution

The correct option is D $(2 x + 4 y)$
$Given that,$
$Total monthly income of the boy = (5 y + 9 x)$

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

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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Similar questions

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) .

(4 x - 6 y)

(6 x + 2 y)

(4 y - x)

(y - 2 x)

(7 x + y)

Find the perimeter of triangle whose sides are 2x + y, 3x + 2y and –x + 2y.

Solve for x and y:

$6 x + 5 y = 7 x + 3 y + 1 = 2 (x + 6 y - 1)$

$F i r s t m o n o m i a l \to - --------------- \to ↓ S e c o n d m o n o m i a l$	2x	-5y	$3 x^{2}$	-4xy	$7 x^{2} y$	$- 9 x^{2} y^{2}$
2x	$4 x^{2}$	-	-	-	-	-
- 5y	-	-	$- 15 x^{2} y$	-	-	-
$3 x^{2}$	-	-	-	-	-	-
- 4xy	-	-	-	-	-	-
$7 x^{2} y$	-	-	-	-	-	-
$- 9 x^{2} y^{2}$	-	-	-	-	-	-

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