Question

WORTH 6 POINTS!! Bob has 2 3/4 gallons of lemonade, 3 5/8 gallons of punch, and a 5 gallon's of soda. He invites 20 of his friends, and an extra 15 people come along. Bob wants each person to have a cup of lemonade, punch and soda. Will he have enough? How much will be left over?

Answer 1

So,

We need to convert the gallons into cups.

1 gal. = 16 c.

2 3/4 gal. = 2(16) + 3/4(16) = 32 + 12 = 44

3 5/8 gal. = 3(16) + 5/8(16) = 48 + 10 = 58

5 gal. = 5(16) = 80

There are 20 + 15 = 35 people.  Therefore, Bob's friends will drink a total of 35 cups of lemonade, 35 cups of punch, and 35 cups of soda.  We just need to subtract these amounts from what Bob has.

44 - 35 = 9 cups of lemonade

58 - 35 = 23 cups of punch

80 - 35 = 45 cups of soda

Obviously, then, Bob will have enough drinks.

He has 9 cups of lemonade, 23 cups of punch, and 45 cups of soda left over.  In gallons, he has 9/16 gallons of lemonade, 1 7/16 gallons of punch, and 2 13/16 gallons of soda left over.