A ratio is a comparison of two quantities. For example, let’s suppose that there are four girls in a classroom, along with two boys. The ratio of girls to boys is 4:2, which simplifies to 2:1. This is telling us that there are two girls in the classroom for every one boy.

Test Objectives
• Demonstrate the ability to write a ratio as a fraction and simplify
• Demonstrate the ability to describe a given scenario using a ratio
• Demonstrate the ability to find the unit rate
Ratio Definition Practice Test:

#1:

Instructions: Write each ratio as a fraction and simplify.

a) 8:4

b) 16:24

c) 15:75

d) 100:10

e) 12:3

#2:

Instructions: Find the ratio and simplify.

A field trip contained 35 girls and 15 boys.

a) What is the ratio of girls to boys?

b) What is the ratio of boys to girls?

A football team had a win/loss ratio of 5:1. If they played a total of 12 games:

c) How many games were won?

d) How many games were lost?

#3:

Instructions: Find the ratio and simplify.

a) On a church trip, there were 4 boys for every 3 girls. If there were a total of 48 boys on the trip, how many girls were there?

#4:

Instructions: Find each unit rate.

a) A meal that contains 220 calories with 22 grams of fat

b) Traveling 320 miles on 20 gallons of gas

#5:

Instructions: Find the unit price and state the better deal.

a) 46 flash drives for $92, 12 flash drives for$36

b) 8 ink cartridges for $120, 23 ink cartridges for$368

Written Solutions:

#1:

Solutions:

a) $$\frac{8}{4}=\frac{2}{1}$$

b) $$\frac{16}{24}=\frac{2}{3}$$

c) $$\frac{15}{75}=\frac{1}{5}$$

d) $$\frac{100}{10}=\frac{10}{1}$$

e) $$\frac{12}{3}=\frac{4}{1}$$

#2:

Solutions:

a) $$\frac{\text{girls}}{\text{boys}}=\frac{7}{3}$$

b) $$\frac{\text{boys}}{\text{girls}}=\frac{3}{7}$$

c)
10 games were won

d)
2 games were lost

#3:

Solutions:

a)
36 girls were on the church trip.

#4:

Solutions:

a)
10 calories per 1 gram of fat $$\frac{10 \hspace{.1em}\text{calories}}{1 \hspace{.1em}\text{gram of fat}}$$

b)
16 miles per 1 gallon of gasoline $$\frac{16 \hspace{.1em}\text{miles}}{1 \hspace{.1em}\text{gallon of gasoline}}$$

#5:

Solutions:

a)
46 flash drives for $92 is the better deal. $$\frac{\text{\92}}{46 \hspace{.1em}\text{flash drives}}=\frac{\text{\2}}{1 \hspace{.1em}\text{flash drive}}$$ $$\frac{\text{\36}}{12 \hspace{.1em}\text{flash drives}}=\frac{\text{\3}}{1 \hspace{.1em}\text{flash drive}}$$ b) 8 ink cartridges for$120 is the better deal. $$\frac{\120}{8 \hspace{.1em}\text{I.C.}}=\frac{\15}{1 \hspace{.1em}\text{I.C.}}$$ $$\frac{\368}{23 \hspace{.1em}\text{I.C.}}=\frac{\16}{1 \hspace{.1em}\text{I.C.}}$$