Ratio Detectives
A recipe uses 2 cups of flour for every 3 cups of sugar. What is the ratio of flour to sugar?
2:3 or 2 to 3
6 notebooks cost $12. How much does one notebook cost?
$2
A car travels 120 miles in 3 hours. What is its unit rate?
40 miles per hour
Are 2:3 and 4:6 equivalent? Explain.
YES, they both increase the at the same rate.
Which doesn't belong?
2:4, 3:6, 5:10, 4:6
4:6
The ratio of red marbles to blue marbles is 3:5. If there are 15 red marbles, how many blue marbles are there?
25 blue marbles
A 12-pack of pencils costs $3.60. What is the cost of one pencil?
$0.30
A runner travels 5 miles in 40 minutes. How many miles does the runner travel per minute? Write in the simplest form.
1/8 miles per minute
Complete the ratio: 5:8 = ___:24
15
A recipe uses 3 cups of flour for every 2 cups of sugar. How much flour is needed for 8 cups of sugar?
12 cups
A class has 10 boys and 15 girls. What is the ratio of boys to the total number of students? Write it in simplest form.
2:5
Store A sells 8 apples for $4. What is the cost per apple?
$0.50
A car travels 45 miles in 1 hour. How far will it travel in 4 hours?
180 miles.
Which is equivalent to 6:9?
A. 2:3
B. 3:4
C. 4:5
D. 12:15
A. 2:3
A student says that 3:4 and 6:8 are NOT equivalent because the numbers are different. What's wrong with their thinking?
Equivalent ratios can have different numbers but represent the same relationship.
The ratio of red beads to blue beads is 2:5. If there are 35 blue beads, how many red beads are there?
14 red beads
Store A sells 8 apples for $4. Store B sells 12 apples for $5. Which store has the better price?
Answer: Store B
A cyclist travels 72 miles in 6 hours. What is the unit rate?
12 miles per hour
A student says 4:6 and 10:15 are equivalent because both numbers increase by 2. Is the student correct? Explain.
No. Equivalent ratios are created by multiplying or dividing both quantities by the same number.
A movie theater sells 3 tickets for $27. What is the cost of one ticket?
$9
The ratio of pencils to pens is 4:3. There are 28 pencils. How many pencils and pens are there altogether?
21 pens
$500: A store sells 5 T-shirts for $60. Another store sells 8 T-shirts for $88. Which store has the better price per shirt?
The second store — $11 per shirt vs. $12 per shirt
Two cars are traveling at constant speeds. Car A travels 150 miles in 3 hours. Car B travels 224 miles in 4 hours. Which car is faster, and by how much?
Car B by 6 miles per hour
Car A = 50 mph; Car B = 56 mph
Which ratio is NOT equivalent to 3:5?
A. 6:10
B. 9:15
C. 12:20
D. 15:20
D. 15:20
A student says, "If 2:3 is equivalent to 4:6, then 6:7 must be equivalent to 12:14." Is the student correct?
Yes. Both quantities are multiplied by 2.