Question

Ms. Sanger blended 8 3/4 gallons of iced tea with some lemonade for a picnic. If there were 13 2/5 gallons of the beverage, how many gallons of lemonade did she use?

Answer 1

`4(13)/(20)`

Explanation:

It is given that Ms. Sanger blended 8 3/4 gallons of iced tea with some lemonade for a picnic.

Iced tea =
`8(3)/(4)=(35)/(4)` gallons

Beverage =
`13(2)/(5)=(67)/(5)` gallons

Let she use x gallons of lemonade.

`Lemonade + Iced tea = Beverage`

`x+(35)/(4)=(67)/(5)`

`x=(67)/(5)-(35)/(4)`

`x=(268-175)/(20)`

`x=(93)/(20)`

`x=4(13)/(20)`

Therefore, she use
`4(13)/(20)` gallons of lemonade.