Unit 1: Ratio, Rate, & Proportion

# 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. $\dfrac{2\frac{2}{3}}{3}=\dfrac{\textit{A}}{16}$ # Answers to Unit 1 Review 1. $2:5$ 2. $6:8$ 3. $1\text{ kg}:7\text{ people}$ 4. $8\text{ cups berries}:3\text{ cups sugar}$ 1. $2:3$ 2. $1:3$ 3. $1:10$ 4. $1:6$ 1. 4 cups water per cup of sugar 2. 120 km/hour 3. 155 people per km2 4.$0.40 per pound of apples
1. $15$
2. $32$
3. $20$
4. $19.43$
1. $13\frac{1}{2}$
2. $3$
3. $10\frac{2}{3}$
4. $14\frac{2}{9}$