Use proportional relationships to solve the following problem. Riley needs to earn enough money to purchase a nev jacket. The one he likes best is $49.99. His state sales tax is 7.25%. How much money does he need to earn? Rou to the nearest dollar.
To find out how much money Riley needs to earn, we first need to calculate the amount of sales tax on the jacket.
The sales tax rate in Riley's state is 7.25%, or 0.0725 as a decimal.
Let's represent the cost of the jacket without tax as "x":
x + 0.0725x = 49.99
To find the total cost, we add the cost of the jacket without tax and the sales tax:
1.0725x = 49.99
Now we can solve for x:
x = 49.99 / 1.0725 = 46.61
Hence, Riley needs to earn $46.61 in order to purchase the jacket. Rounding it to the nearest dollar, he needs to earn $47.