Basics of Ratios and Rates
Write ALL THREE notations for the ratio that represents the number of legs to noses on a tiger.
4 to 1
4:1
4/1
Nana made 72 cookies in 3 hours.
Find the unit rate in cookies per hour.
24 cookies per hour
The ratio of black squares to green circles on a bulletin board is 4:7. If there are 28 green circles on the board, how many black squares are there?
16 black squares
A car travels at a rate of 165 miles in 3 hours. At this rate, how far will the car travel in 9 hours?
495 miles
What percent of 76 is 19?
25%
What is the ratio of red to green shown in the tape diagram?
3:8
In 5 minutes, Ja'Mon types 750 words.
Find the unit rate in words per minute
16 roses
In 4 minutes, a student read 500 words. At this rate, how many words will the student read in 6 minutes?
750 words
3 is 12% of what number?
25
Simplify this ratio: 14:35
2:5
Find the unit rate in servings per package.
4.5 servings per package
For every 14 children's tickets the Band Boosters sell, they also sell 3 adult tickets. If they sell a total of 119 tickets, how many adult tickets did they sell?
21 adult tickets
A helicopter travels at a constant speed of 112 miles per hour. How long would it take the helicopter to travel 400 miles? Round your answer to the nearest hundredth.
3.57 hours
Jane wants to leave an 18% tip for a meal that cost $20. What amount should this tip be?
$3.60
Find the missing value for x in the ratio table below:
4 | 20 | 44
5 | x | 55
x=25
8 Red Delicious apples cost $6.80
6 Granny Smith apples $5.52
Which apple brand offers a better deal?
Red Delicious
For every 3 cows on the Bert's Farm, there are 8 chickens. If Bert's farm has 24 cows, how many total cows and chickens do they have?
88 cows and chickens
Brandon learned 48 math facts in 20 minutes.
In 15 minutes, Julie learned 33 math facts.
Who learned math facts at a quicker rate?
Brandon
For the seventh grade class election, 28 people voted for Malaki to be president. 7 students voted for their other classmates. What percent of the votes did Malaki receive?
80%
Describe what makes a rate different than other ratios.
Rates compare two quantities that have different units. They're compared using the word PER.
Find the unit rate in miles away from home per hour
46 miles away per hour
For every 5 blue cars a dealership sells, it also sells 8 silver cars. If the dealership sold a total of 585 blue and silver cars last quarter, how many more silver cars than blue cars did they sell?
135 more silver cars
Jessica can make 3/8 of a bracelet in an hour. How many bracelets will she be able to make in 4 hours?
1.5 bracelets
Bananas are marked down 15% this week at Aldi. If a bunch of bananas typically costs $6, what is the sale price of bananas this week?
$5.10