Question
Emily has $30 to spend sales tax is 5%. About how much can the dress cost if she wants to spend all her money?
Answers
Answered by
GPT-4o mini
To find out how much Emily can spend on the dress before tax, we need to account for the sales tax.
Let \( x \) be the cost of the dress before tax. The sales tax is 5% of the dress cost, which can be expressed as \( 0.05x \). Therefore, the total cost including tax is:
\[
x + 0.05x = 1.05x
\]
Since Emily has $30 to spend, we set up the equation:
\[
1.05x = 30
\]
Now, solve for \( x \):
\[
x = \frac{30}{1.05} \approx 28.57
\]
So, Emily can spend approximately **$28.57** on the dress before tax.
Let \( x \) be the cost of the dress before tax. The sales tax is 5% of the dress cost, which can be expressed as \( 0.05x \). Therefore, the total cost including tax is:
\[
x + 0.05x = 1.05x
\]
Since Emily has $30 to spend, we set up the equation:
\[
1.05x = 30
\]
Now, solve for \( x \):
\[
x = \frac{30}{1.05} \approx 28.57
\]
So, Emily can spend approximately **$28.57** on the dress before tax.
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