Question
Use proportional relationships to solve the following problem. Riley needs to earn enough money to purchase a new jacket. The one he likes best is $49.99. His state sales tax is 7.25%. How much money does he need to earn? Round to the nearest dollar.(1 point) Responses $82 $82
Answers
GPT 3.5
To find out how much money Riley needs to earn, we need to calculate the cost of the jacket plus the sales tax.
First, we calculate the sales tax:
Sales tax = 7.25% of $49.99
Sales tax = 0.0725 * $49.99
Next, we add the sales tax to the cost of the jacket:
Total cost = $49.99 + sales tax
Using proportions, we can write the equation:
Total cost / $49.99 = 100% + 7.25%
Simplifying the equation:
Total cost / $49.99 = 107.25%
To solve for the total cost, we can cross multiply:
Total cost * $49.99 = 107.25% * $49.99
Simplifying the equation:
Total cost = (107.25% * $49.99) / $49.99
Total cost = $53.685
Rounding to the nearest dollar:
Total cost = $54
Therefore, Riley needs to earn $54 to purchase the jacket.
First, we calculate the sales tax:
Sales tax = 7.25% of $49.99
Sales tax = 0.0725 * $49.99
Next, we add the sales tax to the cost of the jacket:
Total cost = $49.99 + sales tax
Using proportions, we can write the equation:
Total cost / $49.99 = 100% + 7.25%
Simplifying the equation:
Total cost / $49.99 = 107.25%
To solve for the total cost, we can cross multiply:
Total cost * $49.99 = 107.25% * $49.99
Simplifying the equation:
Total cost = (107.25% * $49.99) / $49.99
Total cost = $53.685
Rounding to the nearest dollar:
Total cost = $54
Therefore, Riley needs to earn $54 to purchase the jacket.