You are in charge of making punch for the family reunion. The punch recipe makes 5 cups of punch by mixing together 3 cups of cranberry juice and 2 cups of apple juice. What is the ratio of cranberry juice to apple juice? You need to quintuple the recipe. What is the new ratio of cranberry juice to apple juice?How many cups of punch will you have? You need to make 225 cups of pinch. what is the ratio of cranberry juice to apple juice?
3:2
3:2
5 * 5 = 25
3:2
Find the total capacity of twenty-five containers of cranberry juice if each bottle holds 5 quarts 1 pint 6 oz
To find the ratio of cranberry juice to apple juice in the original punch recipe, we divide the number of cups of cranberry juice by the number of cups of apple juice. In this case, the original recipe has 3 cups of cranberry juice and 2 cups of apple juice.
Original ratio: 3 cups cranberry juice : 2 cups apple juice
To quintuple the recipe, we need to multiply all the ingredients by 5.
New ratio: (3 cups * 5) cranberry juice : (2 cups * 5) apple juice
Simplifying the equation, we get:
New ratio: 15 cups cranberry juice : 10 cups apple juice
Now, let's calculate how many cups of punch we will have in the new recipe. The original recipe makes 5 cups of punch, so if we multiply that by 5, we get:
New amount of punch: 5 cups * 5 = 25 cups
To determine the ratio of cranberry juice to apple juice when making 225 cups of punch, we need to know the ratio from the quintupled recipe (15 cups cranberry juice : 10 cups apple juice).
First, we calculate the multiplier to scale up the quintupled recipe to 225 cups. We divide the desired amount of punch by the new amount of punch:
Multiplier: 225 cups / 25 cups
Simplifying the equation, we get:
Multiplier: 9
Multiplying both parts of the new ratio by the multiplier, we get:
New ratio: (15 cups * 9) cranberry juice : (10 cups * 9) apple juice
Simplifying the equation, we get:
New ratio: 135 cups cranberry juice : 90 cups apple juice