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)

$54

$3,62

$50

$82

Pick correct answer.

1 answer

To find out how much money Riley needs to earn, we need to add the sales tax to the cost of the jacket. The sales tax is 7.25% of the cost. To calculate the tax, we can set up a proportion:

7.25/100 = x/$49.99

To solve for x, cross multiply:

7.25 * $49.99 = 100x

x ≈ $3.624275

Therefore, Riley needs to earn about $3.62 in sales tax. To find the total amount that Riley needs to earn, we add this to the cost of the jacket:

$3.62 + $49.99 ≈ $53.61

Rounding to the nearest dollar, Riley needs to earn $54. Therefore, the correct answer is $54.