Ratios
Rates
Better Buy/Unit Rate
Equivalent Ratios
Grab Bag
100
What are the three ways to write a ratio?
a:b, a to b, a/b
100
Define rate.
A rate is a special ratio that compares two quantities with different units of measure.
100
Adam spent $2.01 on 3 pounds of bananas. Ben spent $3.45 on 5 pounds of apples. Who had the better buy? Show all work to prove.
Adam. He spent $0.67 per pound and Ben spent $0.69 per pound.
100
A cookie recipe calls for 1 cup of sugar and 1/2 cup of chocolate chips. Create a table of equivalent ratios (with 5 ratios) that shows the relationship between the number of cups of sugar to the number of cups of chocolate chips. Then, write your ratios as ordered pairs.
(1,0.5) (2,1) (3,1.5) (4,2) (5,2.5)
100
Solve the following equation: 2.8 = 4.2 + 7n
-0.2 = n
200
What is the difference between a ratio and rate? Give an example of each.
A rate compares two different units of measure while a ratio compare the same units of measure. Examples vary.
200
If you can read 380 words in 5 minutes, what is your unit rate?
76 words per minute
200
Which is the better buy? 18 pens for $6.84 or 30 pens for $8.40? Show all work.
30 pens for $8.40 since the unit rate is $0.28 per pen. The other deal is $0.38 per pen.
200
Kristina walks for 4 minutes after every 28 minutes of running. Jenny walks for 3 minutes after every 21 minutes of running. Are their ratios of walking time to running time equivalent? Show your work.
Yes, since 4/28 = 1/7; 3/21 = 1/7
200
Solve the following equation: 6(n-5) + 4(3n - 6) =18
n = 4
300
If there are 14 red Skittles, 15 Green Skittles, and 21 Purple Skittles, the ratio of green to total is 3:10. True or False?
True - 15:50 = 3:10
300
Dennis paid $42.98 for 14 gallons of gas. What was the price per gallon?
$3.07 per gallon
300
Which is the best buy? 6 shirts for $25.50; 4 shirts for $18.00; 5 shirts for $21. Show all work.
5 shirts for $21 (the unit rate is $4.20 per shirt). The others are $4.25 per shirt and $4.50 per shirt.
300
Which of the following ratios are not equivalent to the ratio 4:9? 12:27, 16:36, 20:40, 2:5, 24:54
20:40 and 2:5
300
The sum of three numbers if 64. The second number is 3 more than the first. The third number is 11 less than twice the first. Find the numbers.
18, 21, 25
400
The Giants won 8 games, lost 6 games and tied 4 games. Write a ratio (in simplest form) of wins and ties to total games.
12 to 18 = 2 to 3
400
If 7 pounds of apples cost $13.16, how much will 10 pounds of apples cost?
$18.80 (since the unit rate is $1.88 per pound)
400
Ashley needs to ride her bike to her friend’s house 96 miles away. She is riding at an average rate of 15 miles per hour. She has 6 hours to get there. Will she make it on time? Show all work.
No - At her current speed, she will only be able to travel 90 miles in 6 hours.
400
If Joey spent $28 on 5 pounds of candy, how much will 8 pounds of candy cost? Show all work.
$44,80 since candy costs $5.60 per pound
400
Solve and graph the following inequality: -9(3 + n) + 2(n-1) <-1
n > -4
500
In the following words: Marlboro Middle School, what is the ratio of vowels to consonants?
7 to 13
500
Beth can run 3.2 miles in 25 minutes. How many miles can she run in an hour?
7.68 miles (since the unit rate is 0.128 per min)
500
Ed drives from Marlboro to Holden, a distance of 250 miles. He then travels on to Paxton, which is 50 miles from Holden. If it takes him 5 hours to complete the entire trip, how fast is he traveling if he is traveling at a constant speed? Show all work.
He is traveling 60 miles per hour. (250 + 50 = 300; 300/5 = 60)
500
Steven works the same amount of hours each day. On Monday, he got paid $89.50 for ten hours. If he works Tuesday and Wednesday, how much money will he make in total after three days? Show all work.
$268.50 (He makes $8.95 per hour)
500
Two less than 3/4 of a number is greater than -11. What is the largest integer the unknown number could be?
-11
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