Calculating Unit Rates
(A). For each situation, find the unit rates.
1. A cheesecake recipe says, “Mix 12 oz of cream cheese with 15 oz of sugar.
2. Mai’s family drinks a total of 10 gallons of milk every 6 weeks.
3. Tyler paid $16 for 4 raffle tickets.
(B). For each problem below, decide which unit rate from the previous situations you prefer to use. Next, solve the problem, and show your thinking.
1. If Lin wants to make extra cheesecake filling, how much cream cheese will she need to mix with 35 ounces of sugar?
2. How many weeks will it take Mai’s family to finish 3 gallons of milk?
3. How much would all 1,000 raffle tickets cost?
Application of Rates in Solving Problems
Read the statements below and answer the questions that follow.
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.”
Who is correct? Explain your reasoning. If you get stuck, consider using the table below.
A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint. The table shows different quantities of red and white paint for the same shade of pink. Complete the table. (Leave your answer to 1 decimal place.)
A farm lets you pick 3 pints of raspberries for $12.00.
(1). What is the cost per pint?
(2). How many pints do you get per dollar?
(3). At this rate, how many pints can you afford for $20.00?
(4). At this rate, how much will 8 pints of raspberries cost?