Understanding Ratios
A ratio compares two quantities using what three forms?
A to B, A:B, and A/B
Complete the equivalent ratio: 2:3 = ___:9
6
Find the unit rate: 60 miles in 2 hours.
30 miles per hour
What is 50% of 20?
10
There are 3 apples for every 2 oranges. How many apples for 8 oranges?
12
Write the ratio of 4 red marbles to 6 blue marbles in simplest form.
2 : 3
If 4 pencils cost $2, how many cost $5?
10
If 5 notebooks cost $15, what’s the cost per notebook?
$3
A shirt costs $40 and is 25% off. What’s the discount amount?
$10
A car travels 180 miles on 6 gallons of gas. What is the miles per gallon?
30 mpg
If there are 5 cats for every 10 dogs, what fraction represents the ratio of cats to dogs?
1/2
Are 6:9 and 8:12 equivalent ratios? Explain.
Yes, both simplify to 2:3.
A printer makes 120 copies in 4 minutes. How many copies per minute?
30
What percent of 80 is 20?
25%
A recipe uses 4 cups of flour for 10 cookies. How much for 25 cookies?
10 cups
A classroom has 8 boys and 12 girls. Write the ratio of girls to total students.
12 : 20 or 3 : 5
A recipe calls for 2 cups of sugar for every 5 cups of flour. How much sugar for 10 cups of flour?
4 cups
Explain what a unit rate tells you in your own words.
It shows how much of one quantity there is for one unit of another.
A student got 18 out of 24 correct. What percent is that?
75%
You scored 45 out of 50 points. What percent is that?
90%
Explain the difference between a part-to-part and part-to-whole ratio.
Part-to-part compares two subsets; part-to-whole compares one subset to the total.
Describe how to create an equivalent ratio using a ratio table.
Multiply or divide both terms by the same number.
A runner goes 2.5 miles in 20 minutes. Find the rate in miles per hour.
7.5 mph
Explain how to find the percent of a number using a decimal.
Multiply the number by the decimal form of the percent.
A bag of trail mix has 2 cups nuts, 3 cups raisins, and 1 cup candy. Find the ratio of candy to total mix in simplest form.
1:6