Ratios
Write 60 girls to 80 boys as a ratio in 3 ways.
3/4, 3 to 4, 3:4
What is the ratio of 2 gallons to 7 quarts
4 quarts per gallon
8:7
If Mimi drives 350 miles in 5 hours, what is her rate of speed (miles per hour)?
What is 70 miles per hour
A 54 inch long ribbon is cut into 3 strips in the ratio of 2:3:4. What is the length of the longest piece?
2+3+4 = 9 parts
54/9 means each part is 6 inches
The longest piece is 4x6 or 24 inches
Write 18 limes to 30 lemons as a ratio in 3 ways.
3:5, 3/5, 3 to 5
What is the ratio of 40 inches to 3 feet?
1 ft = 12 inches
40:3x12
40:36
10:9
If James types 120 words per 3 minutes, how many words can he type in 10 minutes?
120/3 = 40
40 x 10 = 400 words
Solve for x. (3x)/2 = 9/6
(3x)/2 = 9/6
3x xx 6 = 9 xx 2
18x = 18
x = 1
The ratio of red to blue to purple jolly ranchers in one bag is 4:3:8. If there are 80 purple jolly ranchers, how many jolly ranchers are there altogether?
80/8 = 10 jolly ranchers per part
4x10 = 40 red
3x10 = 30 blue
8x10 = 80 purple
40+30+80 = 150 jolly ranchers
In a locked box, there are jolly ranchers and life savers. The amount of life savers in the box is five more than one-third of the amount of jolly ranchers. If there are 45 jolly ranchers in the box, what is the ratio of jolly ranchers to life savers expressed as a fraction?
1/3(45)+5 = 15+5 = 20
45/20 = 9/4
What is the ratio of 88 ounces to 5 pounds?
1 pound = 16 oz
88:5(16)
88:80
11:10
If 10 bags of Hot Cheetos cost $3.50, then about how many bags can you buy with $10?
$0.35/bag
.35/1 = 10/x
.35x = 10
x = 28 bags
Solve for x.
(x+1)/6 = 8/12
(x+1)/6 = 8/12
12(x+1) = 6 xx 8
12x+12 = 48
12x = 36
x = 3
A store sells basketball jerseys for a local team. The ratio of gray to blue jerseys is 5:2. The ratio of the number of blue to white is 3:5. What is the ratio of gray to white jerseys?
Blue jerseys is listed in both ratios, so find LCM.
LCM of 2 and 3 is 6. Make equivalent ratios so the parts of blue jerseys are the same
5:2 becomes 15:6 and 3:5 becomes 6:10
So the ratio of gray to white is 15:10, which is 3:2
In a vending machine there are 8 bags of chips. The number of candy bars in the machine are six less than twice the amount of chips, and there are twice as many bottles of water than candy bars. What is the ratio of bags of chips to water bottles?
Candy bars: 2(8) - 6 = 16 - 6 = 10
Water bottles: 2(10) = 20
chips to water bottles: 8:20 = 2:5
What is the ratio of 7 minutes to 140 seconds?
1 minute = 60 seconds
7x60:140
420:140
3:1
Which is the better deal $120 for 15 t-shirts or $30 for 4 t-shirts
120/15 = $8/shirt
30/4 = $7.50/shirt
30/4 is the better buy
Solve for x. 3/(x-4) = 2/(x+3)
3/(x-4) = 2/(x+3)
3(x+3) = 2(x-4)
3x+9 = 2x-8
x = -17
Ms. Lopez had some drinking glasses. The ratio of the number of blue glasses to the number of white glasses was 5 : 6. Her children broke 8 blue glasses and the ratio became 13 : 18. Part A How many white glasses did she have?
# of White glasses stays the same, so find LCM between 6 and 18 and make equivalent ratios
So 5:6 becomes 15:18, which means the parts of blue glasses decreased from 15 to 13 (2 parts). Since they broke 8 blue glasses (2 parts) then each part is 4 glasses. If she has 18 parts white glasses, then 18x4 = 72 white glasses
A baseball team has pitchers and position players. The amount of pitchers is three less than the amount of position players. If there are 27 players currently on the team, what is the ratio of pitchers to position players?
Pitchers: x-3
x + x-3 = 27
2x-3 = 27
2x = 30
x = 15 15 position players, 12 pitchers
12/15 = 4/5
What is the ratio of 2 gallons to 24 cups?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
2 gallons x 4 x 2 x 2 = 32
32:24 = 4:3
Tracy is running 6.8 meters per second. At this rate, how long will it take for her to complete her 100m dash? Round your answer to the nearest hundredth.
Use a proportion:
6.8/1 = 100/x
6.8x = 100
x = 14.71 s
Solve for x.
3/(10-2x)= 9/(5x+19)
3/(10-2x)= 9/(5x+19)
3(5x+19) = 9(10-2x)
15x + 57 = 90 - 18x
33x = 33
x = 1
Overall $$ does not change, so 9+7 = 16 parts
and 13+19 = 32 parts. They represent the same amount of money, so find LCM of 16 and 32 and make equivalent ratios.
9:7 becomes 18:14. David's #of parts decreased by 5 and Sarah's number of parts increased by 5, which means the $15 is divided by 5 and 1 part = $3. Sarah has 19 parts altogether, so she has 3x19 = $57