Equivalent Ratios
What is the unit rate for a ratio of 18 red tiles to 3 blue tiles?
6 red tiles per blue tile (or 6:1).
A double number line compares distance in meters to time in seconds. The first tick mark after 0 shows 1 second and 4 meters. What is the unit rate?
4 meters per second.
In a ratio table, if 1 box contains 12 pencils, what is the unit rate of pencils per box?
12 pencils per box.
A remote-control car travels 45 feet in 5 seconds at a constant speed. What is its unit speed in feet per second?
9 feet per second.
A single batch of pancake mix calls for 2 cups of flour and 1 cup of milk. What is the unit rate of cups of flour per cup of milk?
2 cups of flour per cup of milk (or 2:1).
Select ALL ratios that are equivalent to 12:8.
A) 3:2
B) 6:3
C) 24:16
D) 8:12
A and C (Since 12:8 simplifies to 3:2, and 38=24, 28=16).
A double number line tracks cups of milk and tablespoons of cocoa powder. What labels belong on the top and bottom number lines if the top counts 2, 4, 6 and the bottom counts 5, 10, 15?
Top line: Cups of Milk
Bottom line: Tablespoons of Cocoa Powder.
Complete the missing values in this ratio table:
Apples: 4 - 8 - 12 - ?
Oranges: 3 - 6 - ? - 15
Missing Oranges = 9
Missing Apples = 20.
A train travels at a constant speed of 60 miles per hour. How far does it travel in 4 hours?
240 miles
A spice mix recipe requires 4 teaspoons of cumin, 2 teaspoons of garlic powder, and 1 teaspoon of paprika for 1 batch. How much of each ingredient is needed for a triple batch?
12 teaspoons cumin, 6 teaspoons garlic powder, and 3 teaspoons paprika.
An animal sanctuary keeps a constant ratio of 3 lions for every 5 tigers. If they currently have 15 tigers, how many lions do they have?
9 lions (Scale factor of 3; 33=9).
On a double number line comparing flour (cups) to water (cups), tick marks show:
Flour: 0,3,6,9,12
Water: 0,2,4,6,___
Fill in the missing blank on the water line.
8 cups (Increments of 2).
A school garden uses 5 bags of soil for every 2 plant beds. Complete the table to show how many bags of soil are needed for 10 plant beds.
Soil Bags: 5 - ?
Plant Beds: 2 - 10
25 bags of soil (Scale factor of 5).
Runner A ran 12 meters in 3 seconds. Runner B ran 15 meters in 5 seconds. Who ran faster?
Runner A (Runner A speed = 4 m/s; Runner B speed = 3 m/s)
A recipe for 1 batch of green paint uses 3 cups of blue paint and 5 cups of yellow paint. If an artist mixes 12 cups of blue paint with 20 cups of yellow paint, how many batches did they make? Will it be the same shade of green?
4 batches; Yes, it will be the exact same shade because the ratios are equivalent (3:5=12:20).
Fill in the missing value to make an equivalent ratio: 15:20=___:80.
60 (Multiply both parts by 4).
A double number line shows that 12 cups of juice mix with 18 cups of water. How many cups of water would you need for 2 cups of juice?
3 cups of water (Divide both 12 and 18 by 6).
A grocery store sells 8 apples for $3.20. Create a row in a ratio table showing the cost for 1 apple.
1 apple costs $0.40 (or 40 cents).
A cyclist travels 36 miles in 3 hours at a constant speed. At this rate, how many hours will it take them to travel 60 miles?
5 hours (Unit rate is 12 mph; 6012=5).
A bakery recipe for 2 batches of muffins uses 6 cups of oats and 4 cups of raisins. How much of each ingredient is needed for 5 batches?
15 cups of oats and 10 cups of raisins (Single batch = 3 cups oats, 2 cups raisins; multiply by 5).
Are the ratios 14:21 and 10:15 equivalent? Show or explain how you know.
Yes. Both simplify to 2:3 (14/7=2, 21/7=3; and 10/5=2, 15/5=3).
In a TRIPLE batch of lemonade, there are 12 cups of water and 9 lemons. On a double number line representing 1, 2, 3, 4, and 5 batches, what are the values of water and lemons for 1 single batch?
4 cups of water and 3 lemons (Divide triple batch values by 3)
A ratio table shows that 6 paintbrushes cost $18. A teacher needs to fill in the table for 1 brush, 4 brushes, and 10 brushes. What are the three missing costs?
1 brush = $3, 4 brushes = $12, 10 brushes = $30.
Drone X travels 80 meters in 4 seconds. Drone Y travels 105 meters in 5 seconds.
What is the unit rate for each drone?
Which drone is faster?
Drone X = 20 meters/sec; Drone Y = 21 meters/sec
Drone Y is faster.
A large container of trail mix has 15 cups of pretzels and 10 cups of almonds. The original single batch recipe calls for 3 cups of pretzels and 2 cups of almonds.
How many full batches are in the container?
If you only have 8 cups of almonds left, what is the maximum number of whole batches you can make?
5 full batches (153=5 and 102=5).
4 whole batches (82=4).