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

Answer:

$4\dfrac{13}{20}$

Step-by-step explanation:

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

Iced tea = $8\dfrac{3}{4}=\dfrac{35}{4}$ gallons

Beverage = $13\dfrac{2}{5}=\dfrac{67}{5}$ gallons

Let she use x gallons of lemonade.

$Lemonade + Iced tea = Beverage$

$x+\dfrac{35}{4}=\dfrac{67}{5}$

$x=\dfrac{67}{5}-\dfrac{35}{4}$

$x=\dfrac{268-175}{20}$

$x=\dfrac{93}{20}$

$x=4\dfrac{13}{20}$

Therefore, she use $4\dfrac{13}{20}$ gallons of lemonade.