[INSERT TITLE HERE] 1
Running head: [INSERT TITLE HERE] [INSERT TITLE HERE]
Student Name
Allied American University Author Note
This paper was prepared for [INSERT COURSE NAME], [INSERT COURSE
ASSIGNMENT] taught by [INSERT INSTRUCTOR’S NAME]. [INSERT TITLE HERE] 2
PART I: EXERCISES
Directions: Answer each of the following questions. When appropriate, please show work.
1. Define a ratio. Write the ratio 3 to 7 in two different ways. 2. Write fraction notation for the ratio and do not simplify: 29 to 90 3. Find the ratio of the first number to the second number and simplify: 15 to 40 4. Define a rate. How is a rate similar or different to a ratio? 5. What is the rate, in meters per second? 250 meters, 90 seconds 6. A 10-lb boneless ham contains 32 servings of meat. What is the rate in servings per pound? 7. Laurie’s Civic will go 256 mi on 9.3 gal of gasoline in city driving. What is the rate in
miles per gallon? 8. A 12-oz bag of coffee costs $7.99. What is the unit price in cents per ounce? Round to the
nearest hundredth of a cent. 9. What is a proportion? 10. Solve for t. 12. Solve for t. 14. Shannon bought a new car. In the first 8 months, it was driven 14,000 mi. At this rate, how
many miles will the car be driven in 1 year? 15. A watch loses 4 min in 20 days. At this rate, how much will it lose in 7 days? 16. On a map, 4 in. represents 12 mi. If two roads are 1.5 in. apart on the map, how far apart
are they in reality? 17. A 5-foot pole casts a shadow 7 ft long. At the same time, the shadow of a cell phone
repeater tower is 40 ft long. How high is the tower? 18. On 18 September 2009, it was known that 1 U.S. dollar was worth 0.934 Canadian dollars.
How much would 50 Canadian dollars be worth in U.S. dollars? Round to the nearest cent. 1.4 [INSERT TITLE HERE] 3
19. If 3 football jerseys costs $162, how much would 7 football jerseys cost? 20. It takes Emily 9 min to type four-fifths of a page of her term paper. At this rate, how long
will it take her to type a 5-page term paper? 21. How do we convert a fraction to percent notation? 22. Find percent notation for 23. Find fraction notation for 85%. 24. Define the percent equation and the percent proportion. 25. 24 is 40% of what number? 26. What is 65% of 15? 27. There are 28,524 students at the university and 32% are from out-of-state. How many are
from out-of-state? 28. At one point in their last season, the Lancers had won 39.4% of their games. If they won 5
games, how many games did they play? 29. Josh weighed 178 lb before he began an exercise program. Two months later he weighed
160 lb. What was the percent of decrease in his weight? 30. On a test of 60 items, Jessica got 50 correct. What percent were correct? 31. The sales tax in Williston is 8.5%. How much tax is charged on a toaster oven costing $75.
What is the total price? 32. A TV marked $390 is on sale at 20% off. What is the discount? 33. What is the simple interest on a principal of $1460 at the interest rate of 3.8% for 1 year? 34. What is the simple interest on a principle of $250 at the interest rate of 3.3% for 1 year? 35. Vera invests $600 at 4% simple interest. How much is in the account after ½ year? 36. By selling a home without using a realtor, Barb can avoid paying a 7% commission. She
received an offer of $130,000 from a potential buyer. In order to give a comparable offer,
for what price would a realtor need to sell the house? Round to the nearest hundred. 9
.
4 [INSERT TITLE HERE] 4
37. Chad’s commission rate is 10%. He invests his commission from the sale of $7000 worth
of merchandise at an interest rate of 7%, compounded quarterly. How much is Chad’s
investment worth after 6 months? PART II: PRACTICAL APPLICATION
Directions: Using unit prices to find best buys at the grocery store.
Focus: Unit Prices
Background: Using math to compute unit prices and determine the best buys will help you
become a wiser consumer. You must use common units in order to compare unit prices. Be sure
that your Prices are accurate, for example: a single 32 oz bag of Lundberg Long rice does
not cost $41.42. Unreasonable prices will result in a zero for Part II.
1. Go to your grocery store and find the prices and unit prices for the following items.
Product
Name Brand (NB)
Store Brand (SB)
Milk (SB)
“
“
“
“
Milk (NB)
“
“
“
“
Rice, long grain
(SB)
“
“
“
“
Rice, long grain
(NB)
“
“
“
“
Toasted oat cereal
(SB)
“
“
“
“
Cheerios®
“
“
“
“ Size Price Unit
Price
Price/Size = Gallon = 128 oz
Half-gallon = 64 oz
Quart = 32 oz
Gallon = 128 oz
Half-gallon = 64 oz
Quart = 32 oz 2. Answer the following questions, based on the unit prices computed. Remember, the best buys
are the products with the lowest unit price. [INSERT TITLE HERE] 5
a.
b.
c.
d.
e.
f. Which size milk is the best buy?
Which size Cheerios® is the best buy?
Which size of the long rice is the best buy?
Are the largest sizes always the best buy?
Are house brands (SB) always cheaper than name brands (NB)?
What factors do you consider when deciding what size and what brand to buy? Conclusion: Participation in this activity has shown you how to compare prices in order to get
the most for your money. Other factors are often taken into consideration when making a
purchase, however.
PART III: JOURNAL ACTIVITY
Directions: Write a page about the connections among ratios, rates, proportions, and percents.
Tell us how you use these in your life and may use them in your current or future profession.

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