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 6 grams of garlic powder to 18 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 salt are needed if 10 grams of garlic powder are used?
(a) One unit rate: 1 gram of garlic powder for each 3 grams of salt.
Another unit rate: 2 grams of garlic powder for each 6 grams of salt.
(b) If 10 grams of garlic powder are used, then 10 grams of salt are needed.
(a) One unit rate: 1 gram of garlic powder for each 3 grams of salt
Another unit rate: 2 grams of garlic powder for each 6 grams of salt
(b) To find the grams of salt needed if 10 grams of garlic powder are used, we can set up a proportion:
6 grams of garlic powder / 18 grams of salt = 10 grams of garlic powder / x grams of salt
Cross multiplying:
6x = 180
Dividing both sides by 6:
x = 30
So, 30 grams of salt are needed if 10 grams of garlic powder are used.
To find two different unit rates using the given ratio, we can divide both the numerator and denominator of the ratio by a common factor.
(a) Let's divide both the numerator (6 grams of garlic powder) and the denominator (18 grams of salt) by 6, which is a common factor.
Dividing the numerator by 6, we get: 6 grams ÷ 6 = 1 gram of garlic powder.
Dividing the denominator by 6, we get: 18 grams ÷ 6 = 3 grams of salt.
So, the first unit rate is 1 gram of garlic powder for each 3 grams of salt.
For the second unit rate, let's divide both the numerator (6 grams of garlic powder) and the denominator (18 grams of salt) by 3, which is another common factor.
Dividing the numerator by 3, we get: 6 grams ÷ 3 = 2 grams of garlic powder.
Dividing the denominator by 3, we get: 18 grams ÷ 3 = 6 grams of salt.
Therefore, the second unit rate is 2 grams of garlic powder for each 6 grams of salt.
(b) To find how many grams of salt are needed if 10 grams of garlic powder are used, we can set up a proportion using the unit rate:
1 gram of garlic powder = 3 grams of salt
Now, we can use cross-multiplication to find the missing value.
1 gram of garlic powder * x grams of salt = 10 grams of garlic powder * 3 grams of salt
x = (10 grams of garlic powder * 3 grams of salt) / 1 gram of garlic powder
x = 30 grams of salt
Therefore, if 10 grams of garlic powder are used, 30 grams of salt are needed.
incorrect
I apologize for the mistake. Let's correct it.
(a) One unit rate: 6 grams of garlic powder for each 18 grams of salt.
Another unit rate: 2 grams of garlic powder for each 6 grams of salt.
(b) To find the grams of salt needed if 10 grams of garlic powder are used, we can set up a proportion:
6 grams of garlic powder / 18 grams of salt = 10 grams of garlic powder / x grams of salt
Cross multiplying:
6x = 180
Dividing both sides by 6:
x = 30
So, 30 grams of salt are needed if 10 grams of garlic powder are used.