Simplify It!
Simplify the ratio 18:24.
3:4
Find the missing number: 3:5 = 12:___
20
A classroom has 12 boys and 18 girls. What is the ratio of boys to girls in simplest form?
2:3
Are the ratios 6:9 and 10:15 equivalent? Explain how you know.
Yes, they are both equivalent to 2:3
Simplify the ratio 42:63:84.
2:3:4
Find the missing number: 14:21 = ___:45
30
A basketball team wins 15 games and loses 10 games. What is the ratio of wins to total games in simplest form?
3:5
Which ratio is greater: 8:12 or 9:14? Prove your answer.
8:12 is greater
A bag contains 54 red marbles, 72 blue marbles, and 90 green marbles. Write the ratio of red to blue to green marbles in simplest form.
3:4:5
A recipe uses 4 cups of flour for every 7 cups of sugar. How many cups of flour are needed if 35 cups of sugar are used?
20 cups
A school has 240 sixth graders. The ratio of students who take the bus to students who walk is 5:3. How many students take the bus?
150 students
A student claims that 12:18 and 20:30 are equivalent because both ratios increase by 8. Is the student correct? Explain.
No, both terms must be multiplied or divided by the same factor.
Double Jeopardy – 2,000 Points
A school orders cheese, pepperoni, and veggie pizzas in a ratio of 3:4:2.
The school orders 72 pizzas total. Before the party begins, 6 cheese pizzas and 4 veggie pizzas are eaten.
What is the new ratio of cheese to pepperoni to veggie pizzas? Express your answer in simplest form.
Original: 24 cheese, 32 pepperoni, 16 veggie.
Remaining: 18 cheese, 32 pepperoni, 12 veggie.
New ratio: 18:32:12 = 9:16:6.
Find the value of x: 18/30 = x+3/45
x=24
A sports drink is made using water and concentrate in a ratio of 7:2. If 36 cups of drink are made, how many cups of each ingredient are needed?
28 cups water, 8 cups concentrate
A map uses a scale of 2 inches to represent 15 miles. Two towns are 7 inches apart on the map. How far apart are the actual towns?
52.5 miles
Three numbers have a ratio of 4:7:9. Their sum is 180. What are the three numbers?
36, 63, 81
Two equivalent ratios have the form a/24=35/b.
If a+b=53, find both values of a and b.
A school fundraiser sells adult tickets and student tickets in a ratio of 3:5. Adult tickets cost $8 and student tickets cost $5. If the fundraiser collects $1,170, how many tickets of each type were sold?
90 adult tickets, 150 student tickets
A mixture contains red and blue paint in a ratio of 5:8. A second mixture contains red and blue paint in a ratio of 3:4. You combine 65 gallons of the first mixture and 56 gallons of the second mixture. What is the resulting ratio of red paint to blue paint? Express your answer in simplest form.
13:20