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Decide mentally whether each statement is true.
Priya and Han are making kinche for a breakfast event at school. The instructions for a large batch of kinche say, “Bring 15 cups of water to a boil. Then add 6 cups of crushed wheat.”
Who is correct? Explain your reasoning. If you get stuck, consider using the table.
| water (cups) | wheat (cups) |
|---|---|
| 15 | 6 |
| 1 | |
| 1 |
Priya and Han are each making a pot of kinche.
For each situation, find the unit rates. Then choose a unit rate to solve the problem in part c. Show your reasoning.
A laundry service uses 10 gallons of detergent every 6 weeks.
Tyler paid \$16 for 4 raffle tickets.
Suppose a farm lets us pick 2 pounds of blueberries for 5 dollars. We can say:
The “price per pound of blueberries” and the “weight of blueberries per dollar” are the two unit rates describing this situation.
| weight of blueberries (pounds) |
price (dollars) |
|---|---|
| 2 | 5 |
| 1 | |
| 1 |
A unit rate tells us how much of one quantity for 1 of the other quantity. Each of these numbers is useful in the right situation.
If we want to find out how much 8 pounds of blueberries will cost, it helps to know how much 1 pound of blueberries will cost.
| weight of blueberries (pounds) |
price (dollars) |
|---|---|
| 1 | |
| 8 |
If we want to find out how many pounds we can buy for 10 dollars, it helps to know how many pounds we can buy for 1 dollar.
| weight of blueberries (pounds) |
price (dollars) |
|---|---|
| 1 | |
| 10 |
Which unit rate is most useful depends on what question we want to answer, so be ready to find either one!
A unit rate is a rate per 1.
For example, 12 people share 2 pies equally. One unit rate is 6 people per pie, because . The other unit rate is of a pie per person, because .