Calculating Unit Rates
(4.) For each problem below, decide which unit rate from the previous situations you prefer to use. Next, solve the problem, and show your thinking.
(a.) If Lin wants to make extra cheesecake filling, how much cream cheese will she need to mix with 35 ounces of sugar?
(b.) How many weeks will it take Mai’s family to finish 3 gallons of milk?
(c.) How much would all 1,000 raffle tickets cost?
Application of Rates in Solving Problems
Priya, Han, Lin, and Diego are all on a camping trip with their families. The first morning, Priya and Han make oatmeal for the group. The instructions for a large batch say, “Bring 15 cups of water to a boil, and then add 6 cups of oats.”
(a.) Priya says, “The ratio of the cups of oats to the cups of water is 6 : 15. That’s 0.4 cups of oats per cup of water.”
(b.) Han says, “The ratio of the cups of water to the cups of oats is 15 : 6. That’s 2.5 cups of water per cup of oats.”
Who is correct? Explain your reasoning. If you get stuck, consider using the table below.