7. On Monday Mandy bought a CD for 40% off the regular price of $16.00, not including tax. The next day the CD was marked down to 65% off its regular price. How much more money wou... 7. On Monday Mandy bought a CD for 40% off the regular price of $16.00, not including tax. The next day the CD was marked down to 65% off its regular price. How much more money would Mandy have saved, not including tax, if she had waited until Tuesday to buy the CD? 8. The Bulls and the Lions are high school basketball teams. The table above shows the final scores of their playoff games. Based on the scores in the table, which statement is true? 9. Jeremy has a box with a rectangular lid. The top of the lid has an area of 392 square centimeters. The ratio of the width to the length of the lid is 1:8. What are the dimensions of the lid? 10. The sum of two numbers is 6. The sum of the squares of the same two numbers is 26. What are the numbers?
Understand the Problem
The questions involve calculating percentages, analyzing sports game outcomes, solving for dimensions of a box lid based on area and ratio, and solving for two numbers that meet specific conditions. Each question requires applying mathematical principles or logical reasoning to determine the correct answers.
Answer
$4.00$
Answer for screen readers
Mandy would have saved $4.00 by waiting to buy the CD.
Steps to Solve
- Calculate Mandy's Discount on the CD
Mandy bought the CD for 40% off the regular price of $16. To find the amount she saved:
$$ \text{Discount} = 16 \times 0.40 = 6.40 $$
So, she paid:
$$ \text{Price Paid} = 16 - 6.40 = 9.60 $$
- Calculate the New Price of the CD on Tuesday
On the next day, the CD was marked down to 65% off. The new price calculation is:
First, find the amount of the new discount:
$$ \text{New Discount} = 16 \times 0.65 = 10.40 $$
So, the new price will be:
$$ \text{New Price} = 16 - 10.40 = 5.60 $$
- Calculate the Difference in Savings
To find how much more money Mandy would have saved by waiting until Tuesday, we take the original price she paid and subtract the new price:
$$ \text{Savings} = 9.60 - 5.60 = 4.00 $$
Mandy would have saved $4.00 by waiting to buy the CD.
More Information
Mandy's original purchase at 40% off led to a cost of $9.60. If she had waited for the 65% discount, she would have only paid $5.60, resulting in a savings of $4.00.
Tips
- Miscalculating the percentage discounts, leading to incorrect original and new prices.
- Confusing "savings" with "amount paid," which can lead to errors in the final calculation.
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