### 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)

8 | = | 2 |

4 | 1 |

b)

16 | = | 2 |

24 | 3 |

c)

15 | = | 1 |

75 | 5 |

d)

100 | = | 10 |

10 | 1 |

e)

12 | = | 4 |

3 | 1 |

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#2:

Solutions:

a)

girls | = | 7 |

boys | 3 |

b)

boys | = | 3 |

girls | 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

10 calories |

1 gram of fat |

b) 16 miles per 1 gallon of gasoline

16 miles |

1 gallon of gasoline |

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#5:

Solutions:

a) 46 flash drives for $92 is the better deal.

$92 | = | $2 |

46 flash drives | 1 flash drive |

$36 | = | $3 |

12 flash drives | 1 flash drive |

b) 8 ink cartridges for $120 is the better deal.

$120 | = | $15 |

8 I.C. | 1 I.C. |

$368 | = | $16 |

23 I.C. | 1 I.C. |