Ratios
Write 2:3 as a fraction
2/3
Write as a rate: 60 miles in 2 hours.
30 miles per hour
Solve: 2/3 = x/6.
x = 4
If y = 3x, what is y when x = 4?
y = 3x → y = 12
There are 8 red marbles and 12 blue marbles. Write the ratio of red to blue.
8:12 or 8 to 12 or 8/12
If a car travels 180 miles in 3 hours, what is the unit rate (miles per hour)?
60 mph
4/5 = 8/x
x = 10
If y = kx and y = 20 when x = 5, what is k?
20 = k(5) → k = 4
Simplify the ratio 24:36.
2:3
A typist types 120 words in 3 minutes. What is the rate per minute?
120 ÷ 3 = 40 words per minute
7/x = 21/9
x = 3
If y = 2x, what is y when x = 10?
y = 2(10) → y = 20
The ratio of cats to dogs is 5:10. Simplify it.
1:2
A person runs 5 miles in 40 minutes. What is the speed in miles per minute?
5 ÷ 40 = 0.125 miles per minute
If 3 pencils cost $1.50, how much do 9 pencils cost?
3 pencils = $1.50 → 9 pencils = $4.50
The equation is y = kx. If x = 7 and y = 28, find k.
28 = k(7) → k = 4
Write the ratio of 15 boys to 20 students in simplest form.
3:4
A machine makes 84 bottles in 6 minutes. How many per minute?
84 ÷ 6 = 14 bottles per minute
If 5 shirts cost $60, how much do 8 shirts cost?
5 shirts = $60 → 1 shirt = $12 → 8 shirts = $96
A proportional relationship is y = 4x. What is y when x = 15?
y = 4(15) → y = 60