1. Write the ratios asked for in the following word problems. Reduce when needed.
   1. It snowed for two days and was sunny for five days last week. Write a ratio to compare snowy days to sunny days.
   2. The class spends 6 hours a week on math and 8 hours on English. Write the ratio of hours spent on math to English.
   3. One kilogram of pork will make enough sausages for 7 people. Write a ratio to express the amount of pork for sausages to the number of people.
   4. A jam recipe calls for 8 cups of blueberries to 3 cups of sugar. Write a ratio to express the amount of berries to sugar.

    

2. Write the ratios in the lowest terms.
   1. [latex]14:21[/latex]
   2. [latex]8:24[/latex]
   3. [latex]15:150[/latex]
   4. [latex]9:54[/latex]

    

3. Write the following ratios as rates.
   1. 16 cups of water to 4 cups of sugar
   2. 150 kilometres to 1.25 hours
   3. 465000 people to 3000 square kilometres
   4. $3.99 to 10 pounds of apples

    

4. Use cross multiplication to solve the following proportions.
   1. [latex]\dfrac{5}{8}=\dfrac{\text{P}}{24}[/latex]
   2. [latex]\dfrac{\text{S}}{100}=\dfrac{8}{25}[/latex]
   3. [latex]\dfrac{4}{\text{N}}=\dfrac{8}{40}[/latex]
   4. [latex]\dfrac{4}{14}=\dfrac{\text{F}}{68}[/latex]

    

5. Use cross multiplication to solve the proportions.
   1. [latex]\dfrac{2\tfrac{1}{4}}{5}=\dfrac{\text{A}}{30}[/latex]
   2. [latex]\dfrac{11}{8}=\dfrac{4\tfrac{1}{8}}{\text{P}}[/latex]
   3. [latex]\dfrac{3\tfrac{3}{4}}{5}=\dfrac{8}{\text{X}}[/latex]
   4. [latex]\dfrac{2\tfrac{2}{3}}{3}=\dfrac{\text{A}}{16}[/latex]

5.4: Review Answers

1. Write the ratios asked for in the following word problems.
   1. [latex]2:5[/latex]
   2. [latex]6:8[/latex]
   3. [latex]1\text{ kg}:7\text{ people}[/latex]
   4. [latex]8\text{ cups berries}:3\text{ cups sugar}[/latex]

    

2. Write the ratios in the lowest terms.
   1. [latex]2:3[/latex]
   2. [latex]1:3[/latex]
   3. [latex]1:10[/latex]
   4. [latex]1:6[/latex]

    

3. Write the following ratios as rates.
   1. 4 cups water per cup of sugar
   2. 120 km/hour
   3. 155 people per km²
   4. $0.40 per pound of apples

    

4. Use cross multiplication to solve the following proportions.
   1. [latex]15[/latex]
   2. [latex]32[/latex]
   3. [latex]20[/latex]
   4. [latex]19.43[/latex]

    

5. Use cross multiplication to solve the following proportions.
   1. [latex]13\dfrac{1}{2}[/latex]
   2. [latex]3[/latex]
   3. [latex]10\dfrac{2}{3}[/latex]
   4. [latex]14\dfrac{2}{9}[/latex]

Attribution

This chapter has been adapted from Unit 1 Review: Ratio, Rate, & Proportion in Adult Literacy Fundamental Mathematics: Book 6 – 2nd Edition (BCcampus) by Liz Girard and Wendy Tagami (2022), which is under a CC BY 4.0 license.