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
$54
$54
$3.62
$3.62
$50
$50
$82
To find the total amount of money Riley needs to earn, you need to add the price of the jacket to the sales tax.
Sales tax = 7.25% of $49.99
Sales tax = 0.0725 * $49.99
Sales tax = $3.62 (rounded to the nearest cent)
Total amount of money Riley needs to earn = $49.99 + $3.62
Total amount of money Riley needs to earn = $53.61 (rounded to the nearest dollar)
Therefore, Riley needs to earn $54 to purchase the new jacket.
To solve the problem using proportional relationships, we can set up a proportion with the amount of money Riley needs to earn and the total cost of the jacket including sales tax.
Let's assume the amount of money Riley needs to earn is x.
Since the sales tax is 7.25%, the total cost of the jacket including sales tax can be calculated using the equation:
Total cost = Jacket cost + (Jacket cost * Sales tax rate)
Substituting the given values, we have:
49.99 + (49.99 * 0.0725)
To find the proportion, we set up the equation:
x / 1 = (49.99 + (49.99 * 0.0725)) / (49.99)
Cross-multiplying and solving for x, we get:
x = (49.99 + (49.99 * 0.0725)) / (49.99)
x = 53.74
Therefore, Riley needs to earn $53.74 to purchase the new jacket. Rounding this to the nearest dollar, the answer is $54.
To solve this problem, we need to first calculate the amount of sales tax on the jacket. We can do this by finding 7.25% of $49.99.
To calculate 7.25% of $49.99, we can multiply $49.99 by 0.0725. This gives us:
$49.99 * 0.0725 = $3.62
So the sales tax on the jacket is $3.62.
To find the total amount of money Riley needs to earn, we need to add the cost of the jacket to the sales tax. This can be done by adding $49.99 and $3.62:
$49.99 + $3.62 = $53.61
Since we need to round to the nearest dollar, the final answer is $54.
Therefore, Riley needs to earn $54 to purchase the new jacket.