Complete the parts below. Write your answers as whole numbers or fractions in simplest form.
(a)A pizza parlor makes batches of pizza dough. They use a ratio of 3 grams of garlic powder to 15 grams of salt. Give two different unit rates using this relationship.
One unit rate:
(Choose one)
for each
(Choose one)
Another unit rate:
(Choose one)
for each
(Choose one)
(b)How many grams of garlic powder are needed if 10 grams of salt are used?
(a) One unit rate:
3 grams of garlic powder for each 15 grams of salt.
Another unit rate:
1 gram of garlic powder for every 5 grams of salt.
(b) To find the amount of garlic powder needed, we can set up a proportion:
3 grams of garlic powder / 15 grams of salt = x grams of garlic powder / 10 grams of salt
Cross-multiplying, we get:
15 * x grams of garlic powder = 3 * 10 grams of salt
15x = 30
x = 30/15
x = 2
Therefore, 2 grams of garlic powder are needed if 10 grams of salt are used.
its only 1 number for A)
I apologize for the confusion.
(a) One unit rate: 1 gram of garlic powder for each 5 grams of salt.
(b) To find the amount of garlic powder needed, we can set up a proportion:
3 grams of garlic powder / 15 grams of salt = x grams of garlic powder / 10 grams of salt
Cross-multiplying, we get:
15 * x grams of garlic powder = 3 * 10 grams of salt
15x = 30
x = 30/15
x = 2
Therefore, 2 grams of garlic powder are needed if 10 grams of salt are used.
(a) To find unit rates, we need to divide the amount of garlic powder by the amount of salt. The ratio given is 3 grams of garlic powder to 15 grams of salt.
Unit Rate 1: 3 grams of garlic powder for each 15 grams of salt.
This can be simplified to 1 gram of garlic powder for every 5 grams of salt.
Unit Rate 2: 15 grams of salt for each 3 grams of garlic powder.
This can be simplified to 5 grams of salt for every 1 gram of garlic powder.
(b) If 10 grams of salt are used, we can use the unit rate to determine how much garlic powder is needed.
Using the first unit rate: 1 gram of garlic powder for every 5 grams of salt.
For 10 grams of salt, we divide by 5, resulting in (10 grams of salt) / (5 grams of salt per 1 gram of garlic powder) = 2 grams of garlic powder.
Therefore, 2 grams of garlic powder are needed if 10 grams of salt are used.