Question

A pizza parlor makes batches of pizza dough. They use a ratio of 4 grams of garlic powder to 6 grams of salt. Give two different unit rates using this relationship many grams of garlic powder are needed if 9 grams of salt are used?

Answer 1

To find the required amount of garlic powder for 9 grams of salt, using the given ratio of 4 grams of garlic powder to 6 grams of salt, we use unit rates and determine that 6 grams of garlic powder is needed.

Step-by-step explanation:

Given a ratio of 4 grams of garlic powder to 6 grams of salt, determining the unit rates.

Step 1: Calculate the unit rate for garlic powder to salt.

We divide the quantity of garlic powder (4g) by the quantity of salt (6g) to get the unit rate:

4g garlic powder / 6g salt = 2/3 g garlic powder per gram of salt

Step 2: Apply the unit rate to find the amount of garlic powder needed for 9 grams of salt.

Now, we use the unit rate to calculate the amount of garlic powder needed for 9 grams of salt:

9g salt x (2/3 g garlic powder/g salt) = 6g garlic powder

Therefore, for 9 grams of salt, we need 6 grams of garlic powder.

=>> The other way to look at this is to find the unit rate for salt to garlic powder:

Step 1: Calculate the unit rate for salt to garlic powder.

We divide the quantity of salt (6g) by the quantity of garlic powder (4g) to get the unit rate:

6g salt / 4g garlic powder = 1.5 g salt per gram of garlic powder

Step 2: Apply the unit rate to find the amount of garlic powder needed.

We can then calculate how much garlic powder is needed for 9 grams of salt:

1.5 g salt / 1 g garlic powder = 9 g salt / x g garlic powder

Solving for x gives x = 6g garlic powder

The amount of garlic powder needed for 9 grams of salt is again confirmed to be 6 grams.