A recipe of a fruit punch calls for 2 cups of orange juice to 1 cup of apple juice. How much orange juice and how much apple juice is needed to make 12 cups of this fruit punch?
so, twice as much orange juice as apple juice
find the proportionality constant (k) ... 2 k + 1 k = 12 ... 3 k = 12 ... k = 4
8 + 4 = 12 ... 8 c orange , 4 c apple
x/12 = 1/3
x = 4
A recipe for fruit punch requires 13/4 cups of orange juice, 21/3 cups of apple juice, and 1/2 cups of lemon juice. How many cups of juice are used to make the fruit punch?
Jasmine bought a large rectangular cake for her birthday party. The cake was cut into 48 equal pieces. Jasmine ate 1/16 of the cake. How many pieces of cake did Jasmine eat?
To determine how much orange juice and apple juice is needed to make 12 cups of the fruit punch, we'll first need to figure out the ratio of orange juice to apple juice.
The recipe states that we need 2 cups of orange juice to 1 cup of apple juice. This means the ratio of orange juice to apple juice is 2:1.
To calculate the amount of orange juice, we'll divide 12 cups by the total parts of the ratio (2+1=3). Then, we'll multiply this result by the number of parts assigned to orange juice in the ratio, which is 2.
Orange juice:
(12 cups / 3) x 2 = 8 cups
Next, to calculate the amount of apple juice, we'll use the same method. Divide 12 cups by the total parts of the ratio, which is 3, and then multiply this result by the number of parts assigned to apple juice in the ratio, which is 1.
Apple juice:
(12 cups / 3) x 1 = 4 cups
Therefore, to make 12 cups of this fruit punch, you will need 8 cups of orange juice and 4 cups of apple juice.