QuestionJuly 19, 2025

There is a sales tax of 4 on an item that costs 54 before tax. The sales tax on a second item is 14 How much does the second item cost before tax? Ssquare

There is a sales tax of 4 on an item that costs 54 before tax. The sales tax on a second item is 14 How much does the second item cost before tax? Ssquare
There is a sales tax of 4 on an item that costs 54 before tax. The sales tax on a second item is 14 How much does the second item cost
before tax?
Ssquare

Solution
4.2(247 votes)

Answer

The second item costs approximately \188.92 before tax. Explanation 1. Identify the relationship between cost and tax The sales tax is added to the item's price. If the tax is \4 for a \54 item, the tax rate is \frac{4}{54}. 2. Calculate the tax rate Tax rate = \frac{4}{54} \approx 0.0741 3. Use the tax rate to find the pre-tax cost of the second item Let x be the pre-tax cost of the second item. Then, 0.0741 \cdot x = 14. Solve for x: x = \frac{14}{0.0741}.

Explanation

1. Identify the relationship between cost and tax<br /> The sales tax is added to the item's price. If the tax is $\$4$ for a $\$54$ item, the tax rate is $\frac{4}{54}$.<br />2. Calculate the tax rate<br /> Tax rate = $\frac{4}{54} \approx 0.0741$<br />3. Use the tax rate to find the pre-tax cost of the second item<br /> Let $x$ be the pre-tax cost of the second item. Then, $0.0741 \cdot x = 14$. Solve for $x$: $x = \frac{14}{0.0741}$.
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