Question

A large bakery uses a recipe for snickerdoodle cookies that needs 5 gallons of milk for 25 tablespoons of vanilla extract.
The recipe uses 5 gallons of milk for every 25 tablespoons of vanilla extract. Record that ratio in the table.
Milk (gallons) Vanilla extract (tablespoons)
5
25
Nice!
Find the unit rate. How many tablespoons of vanilla extract do you need for 1 gallon of milk?
Milk (gallons) Vanilla extract (tablespoons)
5 25
1
5
Great job!
Use the unit rate to fill in the tablespoons of vanilla extract you need for 2 gallons and 9 gallons of milk.
Milk (gallons) Vanilla extract (tablespoons)
5 25
1 5
2

Answer 1

To find the number of tablespoons of vanilla extract needed for 2 gallons and 9 gallons of milk using the unit rate (which is 5 tablespoons of vanilla extract per 1 gallon of milk), you can simply multiply the number of gallons of milk by the unit rate.

We already have:
- Milk (gallons): 5 | Vanilla extract (tablespoons): 25
- Milk (gallons): 1 | Vanilla extract (tablespoons): 5

Now we can calculate for 2 gallons:

For 2 gallons:
- Vanilla extract = 2 gallons × 5 tablespoons/gallon = 10 tablespoons

Now for 9 gallons:

For 9 gallons:
- Vanilla extract = 9 gallons × 5 tablespoons/gallon = 45 tablespoons

So, the completed table would look like this:

| Milk (gallons) | Vanilla extract (tablespoons) |
|----------------|-------------------------------|
| 5 | 25 |
| 1 | 5 |
| 2 | 10 |
| 9 | 45 |