You are in charge of drinks for a community barbecue. You need to supply at least 120 cups of beverage to provide enough for the projected number of people that will attend. So far, you have received the following donations:
Enough mix to make 3 gallons of lemonade 6 bottles of fruit juice that each contain 64 fl. oz. How many cups of beverage do you have?

Question

contestada

Respuesta :

nicorojascalvo nicorojascalvo · Answer 1 · 2019-09-07T22:32:00+02:00

Answer:

If the cups are larger than 6.4 fl. oz, we don't have enough beverage. But if they are smaller, then we've got enough beverage.

Step-by-step explanation:

Firstly, we need to convert the 3 gallons of lemonade to fl.oz.

And we know that 1 gallon = 128 fl. oz. Therefore:

3 gallons = [tex]3 * 128 = 384[/tex] fl. oz

Then, we have 6 bottles of fruit juice containing 64 fl. oz each one or

[tex]64 * 6 = 384[/tex] fl. oz

So, you've got a total of 768 fl. oz if you add up the lemonade and fruit juice.

We don't know the size of the cup. But we can know with the amount of beverage already donated how much can we serve.

[tex]768* 120 = 6.4[/tex] fl. oz per cup.

If the cups are larger than 6.4 fl. oz, we don't have enough beverage. But if they are smaller, then we've got enough beverage.

if the cups are 7 oz, then we've got:

[tex]768* 7 = 109,7[/tex] cups.

if the cups are 8 oz, then we've got:

[tex]768* 8 = 96[/tex] cups.

And so on..