### About Ratio Definition:

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

#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

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#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?

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#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?

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#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

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#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

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

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#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

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#3:

Solutions:

a)

36 girls were on the church trip.

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#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 $$\frac{16 \hspace{.1em}\text{miles}}{1 \hspace{.1em}\text{gallon of gasoline}}$$

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#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. $$\frac{\$120}{8 \hspace{.1em}\text{I.C.}}=\frac{\$15}{1 \hspace{.1em}\text{I.C.}}$$ $$\frac{\$368}{23 \hspace{.1em}\text{I.C.}}=\frac{\$16}{1 \hspace{.1em}\text{I.C.}}$$