Answer :
To solve this problem, we start with the equation [tex]\((x)(0.65) = \$36.48\)[/tex], which tells us that the amount \[tex]$36.48 is 65% of the original price \(x\).
The steps to find the scenario that best matches this situation are:
1. Understand the Situation: The equation \((x)(0.65) = \$[/tex]36.48\) indicates that 65% of the original price of the boots is \[tex]$36.48. This means that the boots are being sold for 65% of their original price.
2. Solve for \(x\):
- To find the original price \(x\), divide both sides of the equation by 0.65:
\[
x = \frac{36.48}{0.65}
\]
- Calculating this gives us approximately \(x = \$[/tex]56.12\).
3. Determine the Appropriate Scenario:
- From the calculation, [tex]\(x\)[/tex] represents the original price of the boots.
- The boots are discounted to 65% of the original cost.
- Therefore, the correct scenario is: "A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is [tex]\(x\)[/tex], \$56.12".
So, this scenario fits the information provided by the equation.
The steps to find the scenario that best matches this situation are:
1. Understand the Situation: The equation \((x)(0.65) = \$[/tex]36.48\) indicates that 65% of the original price of the boots is \[tex]$36.48. This means that the boots are being sold for 65% of their original price.
2. Solve for \(x\):
- To find the original price \(x\), divide both sides of the equation by 0.65:
\[
x = \frac{36.48}{0.65}
\]
- Calculating this gives us approximately \(x = \$[/tex]56.12\).
3. Determine the Appropriate Scenario:
- From the calculation, [tex]\(x\)[/tex] represents the original price of the boots.
- The boots are discounted to 65% of the original cost.
- Therefore, the correct scenario is: "A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is [tex]\(x\)[/tex], \$56.12".
So, this scenario fits the information provided by the equation.
