Solve Percent Problems with Proportions Quick Check
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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
$50
$50
$54
$54
$82
$82
$3.62
$3.62
To solve this problem using proportions, we can set up the following equation:
x = (100% + 7.25%) * $49.99
First, we convert the sales tax percentage to a decimal by dividing by 100:
7.25% ÷ 100 = 0.0725
Next, we add the sales tax decimal (0.0725) to 1 (for the original price in percent form):
1 + 0.0725 = 1.0725
Now, we can multiply the adjusted percentage (1.0725) by the original price ($49.99):
x = 1.0725 * $49.99
x = $53.61
Therefore, Riley needs to earn approximately $53. (rounded to the nearest dollar)