Answer :
Let's analyze the information provided and solve the problem step-by-step.
1. Understand the Information Given:
- Matt paid a total amount of \[tex]$50 at a restaurant. - This total amount includes a 10% tip. 2. Define the Problem: - We need to find out what the original check amount (before the tip) was. 3. Break Down the Percentages: - The total amount Matt paid is the sum of the original check amount and the 10% tip on that amount. 4. Set Up the Equation: - Let the original check amount before the tip be \( x \). - The tip given is 10% of \( x \), which can be written as \( 0.10 \times x \). - Therefore, the total paid amount is the original check amount plus the tip: \[ x + 0.10x = 50 \] 5. Simplify the Equation: - Combine like terms: \[ 1.10x = 50 \] 6. Solve for \( x \): - Divide both sides by 1.10 to isolate \( x \): \[ x = \frac{50}{1.10} \] 7. Calculate \( x \): - Performing the division, we find: \[ x \approx 45.45454545454545 \] 8. Identify the Most Appropriate Answer: - From the given options, the value closest to this calculated amount is \$[/tex]45, which corresponds to option C.
Thus, the correct answer is:
C. \$45
1. Understand the Information Given:
- Matt paid a total amount of \[tex]$50 at a restaurant. - This total amount includes a 10% tip. 2. Define the Problem: - We need to find out what the original check amount (before the tip) was. 3. Break Down the Percentages: - The total amount Matt paid is the sum of the original check amount and the 10% tip on that amount. 4. Set Up the Equation: - Let the original check amount before the tip be \( x \). - The tip given is 10% of \( x \), which can be written as \( 0.10 \times x \). - Therefore, the total paid amount is the original check amount plus the tip: \[ x + 0.10x = 50 \] 5. Simplify the Equation: - Combine like terms: \[ 1.10x = 50 \] 6. Solve for \( x \): - Divide both sides by 1.10 to isolate \( x \): \[ x = \frac{50}{1.10} \] 7. Calculate \( x \): - Performing the division, we find: \[ x \approx 45.45454545454545 \] 8. Identify the Most Appropriate Answer: - From the given options, the value closest to this calculated amount is \$[/tex]45, which corresponds to option C.
Thus, the correct answer is:
C. \$45
