MA318 – Homework
Rational numbers, decimals, ratios, proportions and percents
Due ______Worth ______
Do the following problems on your own paper. Show work where appropriate.
1. Arrange the following numbers from smallest to largest:
2. A dress is put on sale at 25% off the regular price. The sale price is $66.75. What was the regular price of the dress?
3. If a recipe calls for 2 ¾ cup of flour to make 3 dozen cookies, how much flour is required to make 7 dozen cookies?
4. Fill in the following table with an equivalent form of the representation given in each line:
Fraction Decimal Percent
2/3 a b
c d ¼%
e 2.75 f
2/5 g h
5. Find a fractional equivalent for each of the following. Be sure to have your answer in simplest form.
a. 3.761 b. 0.012 c. d. e.
6. Find the exact decimal equivalent for each of the following. Do not round.
a. 35/28 b. 5/12 c. 4/7
7. A refrigerator and stove were purchased and a 5.5% sales tax was added to the purchase price. If the stove was on sale for $319 and the total bill was $834.75, how much did the refrigerator cost, before taxes and to the nearest cent?
8. In a class of 36 students, 13 were absent on Friday. What percent of the class was absent, to one decimal place?
9. If inches on a map represent 35 miles, how many miles are represented by 3.7 inches?
10. Write the proper number name for 305.1672.
11. A school has 240 students. The ratio of students to teachers is 16:1. How many more teachers must be hired to have a 12:1 ratio of students to teachers?
12. If the cost of a new care is $18,000 (plus 4% sales tax) and a down payment of 20% (including the tax) is required, how much money will a consumer need to drive out in a new car?
13. A girl walked into a store with her mother. She said to her mother: “If you will lend me as much money as I have in my purse, I will buy this $15 outfit.” Her mother agreed. Then they did it again with a $20 pair of shoes and again with a $30 jacket. The girl is finally out of money. How much did she have when she walked into the store?
14. Jeff is 6 feet tall and casts a 7 foot shadow. At the same time, a tree casts a shadow of 56 feet. How tall is the tree?
15. If your mechanic suggests 3 parts antifreeze to 4 parts water for your car radiator and your radiator holds 14 liters, how many liters of antifreeze should you use?
16. If a stereo was sold at an 18% discount and that discount amounted to $72, how much was the stereo before the discount?
17. Which of these would be the best buy? Explain why.
a. 9 oz. for $0.79
b. 20 oz. for $1.68
c. 18 oz. for $1.36
d. 25 oz. for $1.95