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