Ratio Basics
What does the ratio 3:2 mean?
What does the ratio 3:2 mean?
What is the unit rate of 12 cookies in 3 bags?
4 cookies per bag.
2 ÷ 3 = 4.
What is the missing value in the ratio table?
| Cups of Sugar | 2 | 4 | 6 | ? |
| Cups of Flour | 3 | 6 | 9 | 12 |
8
What percent of 50 is 10?
20%
Convert 3 ounces to milliliters (1 ounce ≈ 29.6 mL).
88.8 ml
Write the ratio of 8 girls to 12 boys in simplest form.
2:3
Divide both by 4 → 8 ÷ 4 : 12 ÷ 4 = 2:3.
A car travels 180 miles on 6 gallons of gas. Find the miles per gallon.
30 miles per gallon.
180 ÷ 6 = 30.
Justin rode 56 miles in 4 hours. How far in 7 hours?
98 miles.
56 ÷ 4 = 14 miles/hour → 14 × 7 = 98.
Jimmy typed 500 of 2,500 words. What percent does he still need?
80%
Luke takes ½ ounce, 3 times a day for 7 days. How many mL total?
310.8 mL
In a smoothie, there are 4 cups of strawberries for every 2 cups of yogurt. Write this ratio three ways.
4:2, 4 to 2, 4/2
If 5 pencils cost $2, how much does 1 pencil cost?
$0.40
2 ÷ 5 = 0.4.
If ¾ of the items in a bag are pencils and there are 4 more pencils than markers, how many pencils are there?
12
Let total = t, pencils = ¾t, markers = ¼t.
¾t = ¼t + 4 → ½t = 4 → t = 8 → pencils = ¾ × 16 = 12.
A club has 100 members, 40% painted. What percent cleaned the park?
60%
A bag of shrimp costs $8.99 for 2 lb and $14.99 for 3 lb. Which is cheaper per pound?
$14.99 for 3 lb.
$8.99 ÷ 2 = 4.495; $14.99 ÷ 3 = 4.996 → actually $8.99 for 2 lb is cheaper
A classroom has 15 laptops for 25 students. What is the ratio of laptops to students?
3:5
15 ÷ 5 : 25 ÷ 5.
The ratio 8:4 is equivalent to what unit ratio?
2:1
Divide both terms by 4 → 8 ÷ 4 : 4 ÷ 4 = 2:1.
Kelly’s cookie recipe uses ½ cup of chocolate chips and total ingredients = 2 cups. What’s the ratio of chips to total ingredients?
1:4
½ to 2 = ½ ÷ ½ : 2 ÷ ½ = 1 : 4.
Find 25% of 180.
45
Bottled water: $8.99 for 24 bottles, $1.99 for 6, or $0.55 each. What’s the best buy?
Case of 24 bottles ($0.37 per bottle).
$8.99 ÷ 24 = 0.374; $1.99 ÷ 6 = 0.332
In a pet store, there are a total of 25 animals; 15 of the animals are dogs.
Use words, numbers, and/or pictures to show your work.
10:25
You can subtract 15 from 25 to find the amount of animals that are not dogs.
The table shows 12 muffins need 1.5 cups of flour. How much flour for 32 muffins?
4 cups of flour
1.5 ÷ 12 = 0.125 per muffin → 0.125 × 32 = 4.
The ratio of students who voted for the Capitol trip is 75 to total. If that’s 30% of students, how many total?
250
75 ÷ total = 0.3 → total = 75 ÷ 0.3 = 250.
15 is 30% of what number?
50
The Smiths are visiting Canada and notice that the speed limit signs display kilometers per hour (km/h). Their car’s speedometer only displays speed in miles per hour (mph). At what approximate speed, in mph, can the Smiths travel if the sign shows 75 km/h? (1 mile ≈ 1.6 km)
47 mph
75 ÷ 1.6 = 46.875 (rounds to 47 mph)