Ratio Relationships
A basket contains 4 red apples and 7 green apples. What is the ratio of red apples to green apples?
4:7
A car travels 120 miles in 2 hours. Write the rate as a ratio of miles to hours.
120 miles : 2 hours
A pack of 4 pencils costs $8. What is the cost per pencil?
$2 per pencil
Write 40% as a decimal.
0.4
A bag contains 3 blue marbles, 5 red marbles, and 2 green marbles. What is the ratio of red marbles to all marbles?
5:10 or 1:2
A classroom has 6 boys and 9 girls. What is the ratio of boys to the total number of students?
6:15
A student reads 45 pages in 3 days. How many pages does the student read in 6 days at the same rate?
90
A student completes 24 math problems in 6 minutes. How many problems does the student complete per minute?
4 problems per minute
Write 25% as a fraction in simplest form.
1/4
A bakery makes 8 cupcakes using 2 cups of flour. How many cups of flour are needed to make 28 cupcakes?
7 cups (28 ÷ 8 = 3.5; 3.5 × 2 = 7)
Which ratio is equivalent to 3:5?
A. 6:15 B. 9:15 C. 12:15 D. 5:3
B
A store sells 5 notebooks for $15. How much would 8 notebooks cost at the same rate?
$24
A 5-pound bag of oranges costs $7.50. What is the price per pound?
$1.50 per pound ($7.50 ÷ 5)
There are 200 students at a school assembly. If 30% of the students are in 6th grade, how many 6th graders are at the assembly?
60 students (0.30 × 200 = 60)
A table shows that 4 movie tickets cost $36 and 6 movie tickets cost $54. How much would 10 movie tickets cost?
$90 ($36 ÷ 4 = $9 per ticket; 10 × $9 = $90)
A recipe uses 4 cups of flour for every 3 cups of sugar. How many cups of flour are needed for 15 cups of sugar?
20 cups of flour (15 ÷ 3 = 5; 4 × 5 = 20)
Runner A travels 12 miles in 3 hours. Runner B travels 15 miles in 5 hours. Which runner is faster?
Runner A (4 mph compared with 3 mph)
Store A sells 4 pounds of grapes for $10. Store B sells 6 pounds of grapes for $13.50. Which store has the better price per pound?
Store B (Store A = $2.50/lb; Store B = $2.25/lb)
A store is having a 20% off sale. A sweatshirt originally costs $45. How much money will you save?
$9 (0.20 × $45 = $9)
A train travels 150 miles in 3 hours. How many feet does the train travel per second? Round to the nearest tenth.
Hint: 1 mile = 5,280 feet.
73.3 feet per second
A zoo has 6 lions and 24 monkeys. The zoo gets more lions, and the new ratio of lions to monkeys becomes 3:4. How many lions were added?
12 lions (24 ÷ 4 = 6; 3 × 6 = 18 lions total; 18 − 6 = 12 added)
A cyclist travels 18 miles in 45 minutes. At the same rate, how many miles will the cyclist travel in 2 hours?
48 miles (18 ÷ 45 = 0.4 mile per minute; 0.4 × 120 = 48)
Maya earns $108 for working 6 hours. At her second job, she earns $5 more per hour. If she earns $161 at her second job, how many hours did she work there?
7 hours ($108 ÷ 6 = $18/hr; $18 + $5 = $23/hr; $161 ÷ $23 = 7)
A student has 12 stickers. These stickers represent 25% of their entire collection. How many stickers are in the entire collection?
48 stickers (12 ÷ 0.25 = 48)
At a school carnival, 40% of the students play basketball. If 120 students play basketball, how many students attended the carnival in total?
300 students (120 ÷ 0.40 = 300)