These are 16 questions and 16 answers
Answer:
Explanation:
From 1 to 10, find the sale price to the nearest cent:
1. $239 television; 10% discount
[tex]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[/tex]
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:
[tex]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[/tex]
3. $18.95 football; 15% discount
[tex]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[/tex]
4. $10.99 CD; 25% discount
[tex]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[/tex]
5. $149 MP3 player; 40% discount
[tex]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[/tex]
6. $213 ski jacket; 30% discount
[tex]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[/tex]
7. $595 refrigerator; 20% discount
[tex]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[/tex]
8. $64 video game; 25% discount
[tex]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[/tex]
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:
[tex]Sale\text{ }price=Orignal\text{ }price/2 \\\\ Sale\text{ }price=\$59.50[/tex]
10. $14.99 clock; 10% discount
[tex]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[/tex]
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):
[tex]\$50/90=x/100[/tex]
[tex]x=100\times\$50/90=\$55.55[/tex]
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:
[tex]\$6.50/60=x/100\\ \\ x=100\times\$6.50/60=\$10.83[/tex]
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:
[tex]\$18.75/70=x/100[/tex]
Solve for x:
[tex]x=100\times\$18.75/70=\$26.79[/tex]
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?
[tex]\$125.99\times(1-0.15)=\$125.99\times0.85=\$107.09[/tex]
[tex]\$107.09\times1.03=\$110.30[/tex]
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.
