Mix B= 5 cups of fruitjuice ; 9 cups of soda
For this mix how much fruit juice and how much soda are needed to make punch for 240 people( each person gets half a cup of punch)
the formula is that you add 5+9= 14 divide 120/14 and I keep getting a decimal, and then you would multiply that number by 5 and 9, and when those 2 numbers add up it would equal 120.. I just cant seem to figure this out though
The formula is correct. You want a total of 120 cups to serve 240 people a half cup each. Divide 120 by 14 and you get 8.571 as the number of 14 oz "batches" you would need. Each of those batches contains 5 oz of fruit juice (for a total of 42.9 oz), and 9 oz of soda (for a total of 77.1 oz).
Note that 77.1 + 42.9 adds up to 120 oz., as required.
To determine the amount of fruit juice and soda needed to make punch for 240 people, where each person gets half a cup of punch, you first need to calculate the total volume required.
Step 1: Calculate the total volume of punch needed
240 people * 0.5 cups per person = 120 cups of punch
Step 2: Calculate the ratio of fruit juice to soda in the mix
The mix you provided consists of 5 cups of fruit juice to 9 cups of soda, giving a total of 5 + 9 = 14 cups.
Step 3: Calculate the ratio of fruit juice to total mix
Ratio of fruit juice = 5 cups / 14 cups ≈ 0.36 (rounded to two decimal places)
Step 4: Calculate the amount of fruit juice needed
Amount of fruit juice = Ratio of fruit juice * Total volume of punch
Amount of fruit juice = 0.36 * 120 cups ≈ 43.2 cups
Step 5: Calculate the amount of soda needed
Amount of soda = Total volume of punch - Amount of fruit juice
Amount of soda = 120 cups - 43.2 cups ≈ 76.8 cups
Therefore, to make punch for 240 people, where each person gets half a cup of punch, you will need approximately 43.2 cups of fruit juice and approximately 76.8 cups of soda.