Question

1. $239 television; 10% discount 2. $72 game; 20% discount

Answer 1

These are 16 questions and 16 answers

Answer:

• See below and the attachment.

Explanation:

From 1 to 10, find the sale price to the nearest cent:

1. $239 television; 10% discount

   $Sale\text{ }price=Orignal\text{ }price-discount\\ \\ Sale\text{ }price=\ 239-10\%\times \ 239=\\\\ Sale\text{ }price=\ 239-0.10\times \ 239=\\\\ Sale\text{ }price=\ 239-\ 23.9=\ 215.10$

2. $72 game; 20% discount

You can also multiply by the factor (1 - % discount);

For instance for 20% discount, the factor is 1 - 20% = 1 -0.20 = 0.80. Which means that you can multiply the original price by the factor 0.80 to get the sale price:

              $Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\ 72\times(1-0.20)=\\\\ Sale\text{ }price=\ 72\times0.80=\\\\ Sale\text{ }price=\ 57.60$

3. $18.95 football; 15% discount

             $Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\ 18.95\times(1-0.15)=\\\\ Sale\text{ }price=\ 18.95\times0.85=\\\\ Sale\text{ }price=\ 16.11$

4. $10.99 CD; 25% discount

            $Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\ 10.99\times(1-0.25)=\\\\ Sale\text{ }price=\ 10.99\times0.75=\\\\ Sale\text{ }price=\ 8.24$

5. $149 MP3 player; 40% discount

            $Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\ 149\times(1-0.40)=\\\\ Sale\text{ }price=\ 149\times0.60=\\\\ Sale\text{ }price=\ 89.40$

6. $213 ski jacket; 30% discount

            $Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\ 213\times(1-0.30)=\\\\ Sale\text{ }price=\ 213\times0.70=\\\\ Sale\text{ }price=\ 149.10$

7. $595 refrigerator; 20% discount

            $Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\ 595\times(1-0.20)=\\\\ Sale\text{ }price=\ 595\times0.80=\\\\ Sale\text{ }price=\ 476.00$

8. $64 video game; 25% discount

          $Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\ 64\times(1-0.25)=\\\\ Sale\text{ }price=\ 64\times0.75=\\\\ Sale\text{ }price=\ 48.00$

9. $119 croquet set; 50% discount

You should not have problems with this: 50% discount means that you will pay half the price.

Hence, the sale price is:

           $Sale\text{ }price=Orignal\text{ }price/2 \\\\ Sale\text{ }price=\ 59.50$

10. $14.99 clock; 10% discount

            $Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\ 14.99\times(1-0.10)=\\\\ Sale\text{ }price=\ 14.99\times0.90=\\\\ Sale\text{ }price=\ 13.49$

11. A radio is on sale for $50. If this price represents a 10% discount from the original price, what is the original price to the nearest nickel? Hint: need to use a proportion to find the whole.

First note that if the discount is 10%, the sale price is 100% - 10% = 90% of the original price.

Let's set the proportion that represents the proportionality between the two ratios, starting with the fact that $ is the 90% and original price is the 100% (the whole part):

• First ratio: $50/90

• Second ratio: x /100

• Proportion: first ratio = second ratio

             $\ 50/90=x/100$

• Solve for x:

              $x=100\times\ 50/90=\ 55.55$

Hence, the original price is $55.55

12. A box of laundry detergent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the original price to the nearest cent?

Use the same hint used in the question above: set a proportion.

Remember a 40% discount means that the sale price is 60% of the original price:

              $\ 6.50/60=x/100\\ \\ x=100\times\ 6.50/60=\ 10.83$

13. Determine the price of a $35 basketball that is on sale for 50% off the regular price.

Again, 50% discount means that the sale price will be half of the original price, or the original price will be double of the sale price.

Here, the original price is $35, hence the sale price is $35/2 = $17.50

14. Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, what is the original price to the nearest cent?

Since the price is after a 30% discount, the sale price is a 70% of the original price, and you set the proportion:

          $\ 18.75/70=x/100$

Solve for x:

           $x=100\times\ 18.75/70=\ 26.79$

15. Michael bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sales tax of 3% is applied to the discounted total. What was the sale price with tax of Michael’s fishing rod to the nearest cent?

• First find the the sale price after the 15% discount:

           $\ 125.99\times(1-0.15)=\ 125.99\times0.85=\ 107.09$

• Now add the 3% tax:

          $\ 107.09\times1.03=\ 110.30$

Hence, the sale price with tax is $110.30

The last answer (# 16) is in the attached file, since this already exceeds the number of characters allowed.