Ratios
What are the 3 ways to write a ratio?
As a fraction, with a colon, and with the word "to"
You drive 200 miles in 4 hours.
50 miles/hour
2/3 and 4/6
2 x 6 = 12, 3 x 4 = 12
Proportional
Solve for x.
x/6 = 6/9
9x = 36
x = 4
You earn $12 for selling 3 cupcakes. How much will you earn for selling 12 cupcakes?
12/3 = x/12
3x = 144
$48
Write the ratio is simplest form.
4/10
2/5
You type 120 words per 3 minutes.
40 words/minute
6/8 and 12/15
6 x 15 = 90, 8 x 12 = 96
Not proportional
Solve for x.
x/18 = 9/6
6x = 162
x = 27
You score 21 points in 4 games. How many points would you expect to score in 24 games?
21/4 = x/24
4x = 504
126 points
Write the ratio is simplest form.
12/32
3/8
You pay $11.25 for 9 bags of Cheetos.
$1.25/bag
12/16 and 9/12?
12 x 12 = 144
16 x 9 = 144
Proportional
Solve for x.
12/x = 20/25
20x = 300
x = 15
You read 16 pages in 12 minutes. How many pages should you read in 30 minutes?
16/12 = x/30
12x = 480
40 pages
Write the ratio is simplest form.
21/36
7/12
You drive 406 miles on 14 gallons of gas.
29 miles/gallon
36/45 and 27/42
36 x 42 = 1512
45 x 27 = 1215
Not proportional
Solve for x.
48/27 = x/90
27x = 4320
x = 160
You type 208 words in 4 minutes. How many minutes does it take you to type 780 words?
208/4 = 780/x
208x = 3120
15 minutes
Write the ratio is simplest form.
84/108
7/9
You buy 12 cheeseburgers for $54.
$4.50/cheeseburger
450/650 and 500/700
450 x 700 = 315,000
650 x 500 = 325,000
Not proportional
Solve for x.
45/54 = 120/x
45x = 6480
x = 144
You earn $120 for working 8 hours. How many hours would you have to work to make $990?
120/8 = 990/x
120x = 7920
66 hours