Question

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 7 bottles of fruit juice that each contain 64 fl. Oz.How many cups of beverage do you have ? Will you have enough for the barbecue ?

Answer 1

• 105 cups

,

• No

Explanation:

The donations received so far are"

• Enough mix to make 3 gallons of lemonade

,

• 7 bottles of fruit juice that each contain 64 fl. Oz.

First, convert each of these to cups.

(a)3 gallons of lemonade

`\begin{gathered} \text{1 gallon}=16\text{ cups} \\ \implies3\text{ gallons }=16*3=48\text{ cups} \end{gathered}`

3 gallons of lemonade is equivalent to 48 cups.

(b)7 bottles of fruit juice that each contain 64 fl. Oz.

`\begin{gathered} 1\text{ fl.Oz}=0.125\text{ cup} \\ 7*64\text{ fl.Oz}=7*64*0.125=56\text{ cups} \end{gathered}`

7 bottles of fruit juice that each contain 64 fl. Oz. is equivalent to 56 cups.

Add the two together:

`48+56=104\text{ cups}`

• You have 105 cups of beverage.

,

• Since you need at least 120 cups, you will ,NOT HAVE ENOUGH, for the barbecue.