Questions

1. Write the ratios asked for in the questions. 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 blue berries to 3 cups of sugar. Write a ratio to express the amount of berries to sugar.

    

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

    

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. 465,000 people to 3,000 square kilometres
   4. $3.99 to 10 pounds of apples

    

4. Use cross multiplication to solve the proportions.
   1. $\dfrac{5}{8}=\dfrac{\textit{P}}{24}$
   2. $\dfrac{\textit{S}}{100}=\dfrac{8}{25}$
   3. $\dfrac{4}{\textit{N}}=\dfrac{8}{40}$
   4. $\dfrac{4}{14}=\dfrac{\textit{F}}{68}$

    

5. Use cross multiplication to solve the proportions.
   1. $\dfrac{2\frac{1}{4}}{5}=\dfrac{\textit{A}}{30}$
   2. $\dfrac{11}{8}=\dfrac{4\frac{1}{8}}{\textit{P}}$
   3. $\dfrac{3\frac{3}{4}}{5}=\dfrac{8}{\textit{X}}$
   4. $\dfrac{2\frac{2}{3}}{3}=\dfrac{\textit{A}}{16}$