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Jason used a discount coupon for
5% off at his favorite clothing store. He bought 9 pairs of shoes for
x dollars each and 7 coats for
y dollars each. Which expression represents the total amount Jason paid after the coupon was applied?

5(9x+7y)

0.05(9x+7y)+(9x+7y)

0.95(9x+7y)

(9x+7y)-0.95(9x+7y)

Jason used a discount coupon for $5 \%$ off at his favorite clothing store. He bought $9$ pairs of shoes for $x$ dollars each and $7$ coats for $y$ dollars each. Which expression represents the total amount Jason paid after the coupon was applied? $\newline$ $5(9 x+7 y)$ $\newline$ $0.05(9 x+7 y)+(9 x+7 y)$ $\newline$ $0.95(9 x+7 y)$ $\newline$ $(9 x+7 y)-0.95(9 x+7 y)$

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Ratio and Quadratic equation

Full solution

Q. Jason used a discount coupon for

5 \%

off at his favorite clothing store. He bought

9

pairs of shoes for

x

dollars each and

7

coats for

y

dollars each. Which expression represents the total amount Jason paid after the coupon was applied?

\newline

5(9 x+7 y)

\newline

0.05(9 x+7 y)+(9 x+7 y)

\newline

0.95(9 x+7 y)

\newline

(9 x+7 y)-0.95(9 x+7 y)

Calculate total cost: Calculate the total cost before the discount is applied. $\newline$ Total cost = Cost of shoes + Cost of coats $\newline$ Total cost = $9x$ (for shoes) + $7y$ (for coats) $\newline$ Total cost = $9x + 7y$
Calculate discount amount: Calculate the discount amount. $\newline$ Discount = $5\%$ of the total cost $\newline$ Discount = $0.05 \times (9x + 7y)$
Calculate total amount paid: Calculate the total amount paid after the discount is applied. $\newline$ Total amount paid = Total cost - Discount $\newline$ Total amount paid = $(9x + 7y) - 0.05 \times (9x + 7y)$
Factor out total cost: Factor out the total cost from the expression to simplify. $\newline$ Total amount paid = $(9x + 7y) \times (1 - 0.05)$ $\newline$ Total amount paid = $(9x + 7y) \times 0.95$

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