Alex is buying a sweater that originally costs $\$ 35$ and a air of jeans that originally cost $\$ 28$ . If the sweater is marked down $30 \%$ and the jeans are marked down $15 \%$ , find the total cost, including $8$ \% sales tax.

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Grade 8

Multi-step problems with percents

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Q. Alex is buying a sweater that originally costs

\$ 35

and a air of jeans that originally cost

\$ 28

. If the sweater is marked down

30 \%

and the jeans are marked down

15 \%

, find the total cost, including

8

\% sales tax.

Calculate sweater discount: Question_prompt: What is the total cost of the sweater and jeans after discounts and including sales tax?
Calculate sweater sale price: Calculate the discount on the sweater. $\newline$ Discount on sweater = Original price of sweater $\times$ Discount percentage for sweater $\newline$ = $\$(35) \times \frac{30}{100}$ $\newline$ = $\$(35) \times 0.3$ $\newline$ = $\$(10.50)$
Calculate jeans discount: Calculate the sale price of the sweater. $\newline$ Sale price of sweater = Original price of sweater - Discount on sweater $\newline$ = $\$35$ - $\$10.50$ $\newline$ = $\$24.50$
Calculate jeans sale price: Calculate the discount on the jeans. $\newline$ Discount on jeans = Original price of jeans $\times$ Discount percentage for jeans $\newline$ = $\$(28) \times \frac{15}{100}$ $\newline$ = $\$(28) \times 0.15$ $\newline$ = $\$4.20$
Calculate combined sale price: Calculate the sale price of the jeans. $\newline$ Sale price of jeans = Original price of jeans - Discount on jeans $\newline$ = $\$28$ - $\$4.20$ $\newline$ = $\$23.80$
Calculate sales tax: Calculate the combined sale price of the sweater and jeans. $\newline$ Combined sale price = Sale price of sweater + Sale price of jeans $\newline$ = $\$24.50$ + $\$23.80$ $\newline$ = $\$48.30$
Calculate total cost: Calculate the sales tax on the combined sale price. $\newline$ Sales tax = Combined sale price $\times$ Sales tax percentage $\newline$ = $\$(48.30) \times \frac{8}{100}$ $\newline$ = $\$(48.30) \times 0.08$ $\newline$ = $\$(3.86)$
Calculate total cost: Calculate the sales tax on the combined sale price. $\newline$ Sales tax = Combined sale price $\times$ Sales tax percentage $\newline$ = $\$(48.30) \times \frac{8}{100}$ $\newline$ = $\$(48.30) \times 0.08$ $\newline$ = $\$(3.86)$ Calculate the total cost including sales tax. $\newline$ Total cost = Combined sale price + Sales tax $\newline$ = $\$(48.30) + \$(3.86)$ $\newline$ = $\$(52.16)$