Ratios
Express the ratio 4:6 in its simplest form
2:3
Compare the ratios 3:4 and 9:12. Are they equivalent?
Yes
3/4 × 3/3 = 9/12
A cell phone plan offers 500 minutes for $25. What is the unit rate in minutes per dollar?
20 minutes per dollar
500 ÷ 25 = 20
Convert 2.5 hours to minutes
(60 minutes = 1 hour)
150 minutes
Convert 25% to a decimal
0.25
Write the ratio 5:9 as a fraction in its simplest form
5/9
If the ratio of pencils to pens is 4:7, and there are 28 pens, how many pencils are there?
16 pencils
4/7 × 4/4 = 16/28
A printer can print 100 pages in 5 minutes. What is the unit rate in pages per minute?
20 pages per minute
100 ÷ 5 = 20
Convert 300 millimeters to centimeters
(1 cm = 100 mm)
3 cm
What is 15% of 200?
30
Compare the ratios 4:5 and 8:10. Are they equivalent?
Yes
4/5 × 2/2 = 8/10
If the ratio of blue marbles to red marbles is 5:8, and there are 40 red marbles, how many blue marbles are there?
25 blue marbles
5/8 × 5/5 = 25/40
At the supermarket, 10 pounds of apples cost $22. What is the unit rate in dollars per pound?
$2.20/lb.
22 ÷ 10 = 2.2
Convert 12 ounces to pounds
(1 pound = 16 ounces)
0.75 lb.
OR
3/4 lb.
Express 3/4 as a percentage
75%
Write the ratio 6:10 as a fraction in its simplest form
3/5
A recipe for 12 muffins calls for 2 cups of flour and 3 eggs. If you want to make 24 muffins, how many cups of flour do you need?
4 cups of flour
2:12 × 2:2 = 4:24
A box of pencils costs $3.45. If there are 15 pencils in the box, what is the unit rate?
23¢ per pencil
3.45 ÷ 15 = 0.23
Convert 3.25 yards to inches
(1 yd. = 36 in.)
117 in.
If a shirt costs $20 and is on sale for 30% off, what is the sale price?
$14
20 × 0.30 = $6 (this is the discount amount)
20 - 6 = $14
If the ratio of girls to boys in a class is 2:3, and there are 40 students, how many girls are there?
16 girls
(Find a number to multiply 2 and 3 by such that the sum of the products is equal to 40, which is 8.
2 × 8 = 16 girls
3 × 8 = 24 boys
16 + 24 = 40 students
16:24 = 2:3)
If the ratio of students to teachers in a class is 25:1, and there are 500 students, how many teachers are there?
20 teachers
25:1 = 500:?
25 × 20 = 500
1 × 20 = 20 teachers
500:20 = 25:1
A bakery uses 5 cups of flour to make 24 cupcakes. What is the unit rate in cups per cupcake?
5/24 cups per cupcake
3.5 liters to gallons
(1 liter ≈ 0.264 gallons)
Round to the nearest thousandth
≈ 0.925 gallons
If a computer is priced at $800 and the tax rate is 8%, what is the total cost?
$864
800 × 1.08 = 864