It takes 3/8 cup of powered drink mix to make 1 quart of a flavored drink. How many quarts of flavored drink can Juanita make with 3 cups of Cherry, 7/8 cups of grape and 2 1/4 cups of orange?
cherry: 3/(3/8)= 8*3/3= 8 quarts
grape: (7/8)/(3/8)= 7*8/(8*3)
(3 + 7/8 + 2 2/8) / (3/8) = ?
5 9/8 = 49/8 / 3/8
49/8 * 8/3 =
To find out how many quarts of flavored drink Juanita can make, we need to determine the amount of each flavor she has and calculate the total number of quarts for each flavor separately.
1. For cherry flavor:
Juanita has 3 cups of cherry flavored drink mix.
Since it takes 3/8 cup of powdered drink mix to make 1 quart of flavored drink, we can calculate the number of quarts:
3 cups ÷ (3/8 cup/quart) = 3 ÷ (3/8) = 3 × (8/3) = 8 quarts
2. For grape flavor:
Juanita has 7/8 cups of grape flavored drink mix.
Using the same conversion rate as above:
7/8 cups ÷ (3/8 cup/quart) = (7/8) ÷ (3/8) = (7/8) × (8/3) = 7 × (8/3) ÷ 8 = 7/3 quarts
3. For orange flavor:
Juanita has 2 1/4 cups of orange flavored drink mix.
Again, using the same conversion rate:
2 1/4 cups ÷ (3/8 cup/quart) = (9/4) ÷ (3/8) = (9/4) × (8/3) = 9 × (8/3) ÷ 4 = 6 quarts
To find the total amount of flavored drink that Juanita can make, we need to sum up the amounts for each flavor:
8 quarts (cherry) + 7/3 quarts (grape) + 6 quarts (orange) = 24/3 + 7/3 + 6 = 31/3 quarts
Therefore, Juanita can make 31/3 quarts of flavored drink using the given amount of cherry, grape, and orange mix.
To find out how many quarts of flavored drink Juanita can make, we need to determine how many quarts of each flavor she can make and then add them together.
First, let's find out how many quarts of Cherry flavor she can make. Given that it takes 3/8 cup of powdered drink mix to make 1 quart of flavored drink, we can set up a proportion:
(3/8 cup) / (1 quart) = (3 cups of Cherry) / (x quarts of Cherry)
To solve this proportion, we can cross-multiply and then divide:
(3/8) * (x) = (3/1) * (1/1)
3x = 3
x = 3/3
x = 1
Therefore, Juanita can make 1 quart of Cherry-flavored drink.
Next, let's determine how many quarts of Grape flavor she can make. Again, using the proportion:
(3/8 cup) / (1 quart) = (7/8 cups of Grape) / (x quarts of Grape)
Cross-multiplying and dividing:
(3/8) * (x) = (7/8) * (1/1)
3x = 7
x = 7/3
However, since we want the answer in quarts, we need to convert it to a mixed number:
7/3 = 2 and 1/3
Therefore, Juanita can make 2 and 1/3 quarts of Grape-flavored drink.
Lastly, let's determine how many quarts of Orange flavor she can make:
(3/8 cup) / (1 quart) = (2 1/4 cups of Orange) / (x quarts of Orange)
Cross-multiplying and dividing:
(3/8) * (x) = (9/4) * (1/1)
3x = 9
x = 9/3
x = 3
Thus, Juanita can make 3 quarts of Orange-flavored drink.
Adding up all these amounts, Juanita can make a total of:
1 quart + 2 1/3 quarts + 3 quarts = 6 and 1/3 quarts of flavored drink.
Therefore, Juanita can make 6 and 1/3 quarts of flavored drink using 3 cups of Cherry, 7/8 cups of grape, and 2 1/4 cups of orange.