Ratios
Rates
Proportions 1
Proportions 2
100
Thirty buses can carry 1500 people. How many people can be carried by 5 buses?
What is 250 people?
30/1500 = 5/x
100
Which is the better buy, 3 pens for $1.32 or 5 for $2.50?
What is 3 pens.
1.32/3 = .44 each
2.5/5 = .5 each (.5 = .50)
100
Is this a proportion? 45 miles/ 2 hours = 96 miles/ 4 hours
What is No?
45/2 = 90/4
100
Is this a proportion?
4.8 errors/ 3 pages = 3.4 errors/ 2 pages
What is No?
4.8 / 3 = 3.2 / 2
200
Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. However, after school resumes in January, 6 new boys and 4 new girls came to the class. Is the ratio of boys to total number of students in the class still the same?
Yes. 12:8 is equivalent to 18:12
200
Six Flags is offering a package deal of 5 entrance passes for $130. If 1 entrance pass normally costs $30, how much will you save by taking advantage of this movie bargain?
$4 per pass or $20 total
200
Find the missing number in in the proportion USING ANY METHOD:
6/x = 15/5
x=2
200
Find the missing number in in the proportion USING SCALE FACTOR: 3/2 = x/27
What is 40.5?
300
10 and 45
300
You can bike 3/4 of a mile in 1/8 of an hour. What is your unit rate?
6 miles per hour (mph)
300
Find the missing number in in the proportion USING MULTIPLICATION:
0.52 / 2 = x / 3
0.78
300
Find the missing number in in the proportion USING CROSS PRODUCTS:
8 / 10 = 6 / x
What is 7.5?
400
A wire that is 117 inches long is cut in two in the ratio 8 : 1. Find the length of each piece of wire.
104 inches and 13 inches
400
It takes 2 1⁄2 yards of thread to make 4⁄6 of a sock. How many yards of thread will it take to make 2 socks?
7 1/2 yards of thread
400
You drive 125 miles in 3 hours. How long will it take you to drive 400 miles if you go the same rate?
9.6 HOURS
400
A 3-ounce steak has 222 calories. How many calories are in a 8-ounce steak?
592 CALORIES
500
Muriel’s scores for science, math and English are in the ratio 3 : 5 : 7. If her highest score was 21, find the difference between the highest and the lowest score.
12
500
If a plane flies 2275 miles in 3.5 hours, how long does it take to fly 8450 miles?
13 hours
500
d=23
500
k=-14