You have been asked to make lemonade for this year's Back to School Night. In order to make the lemonade taste irresistible, you will make 10 - cup batches that consist of 50% water, 25% lemonade mix, 10% lemonade juice, and 15% sugar. You are supplied with 44 cups of mix, 80 cups of water, 36 cups of lemon juice, and 40 cups of sugar. Discover the maximum number of batches you can make with the given ingredients. Remember that each batch makes 10 cups.

16 batches of lemonade

Step-by-step explanation:

each batch requires (10 cups of lemonade):

5 cups of water 2.5 cups of lemonade mix 1 cup of lemon juice 1.5 cups of sugar

you are given:

80 cups of water ⇒ makes up to 16 batches 44 cups of lemonade mix ⇒ makes up to 17.6 batches 36 cup of lemon juice ⇒ makes up to 36 batches 40 cups of sugar ⇒ makes up to 26.67 batches

the ingredient that determines the total amount of batches we can make is water which is enough to produce only 16 batches.

you would use:

80 cups of water (no water left) 40 cups of lemonade mix (4 cups left) 16 cups of lemon juice (20 cups left) 24 cups of sugar (16 cups left)