Question

a lemonade stand sells cups of yellow lemonade and pink lemonade. pink lemonade sells for 50% more than yellow lemonade. on a certain day, 1x of all the cups of lemonade sold was yellow lemonade. in terms of x, what fraction of the total revenue from lemonade sales came from sales of yellow lemonade?

Answer 1

Yellow lemonade = x

Pink lemonade = 50% more than yellow.

Pink = 1.5x

The total revenue is :

1.5x + x = 2.5x

The fraction of yellow lemonade %

X/2.5x = 10/25

= 2/5

Answer 2

Answer:

Fraction =  $\frac{2}{3(x-1)}$

Step-by-step explanation:

Let the price of Yellow lemonade = a

Then price of pink lemonade = 1.5a

Let the total no. of cups sold on certain day = C

Then, revenue form Yellow lemonade = $\frac{1}{x}$×C×a

Revenue from Pink lemonade = 1-$\frac{1}{x}$×C×(1.5)a

Fraction of total revenue for the sales of yellow lemonade = $\frac{Revenue from yellow lemonade}{Total revenue}$

         = $\frac{\frac{C \times a}{x} }{\frac{C(x-1) \times a}{x} }$

         = $\frac{1}{1.5(x-1)}$

         = $\frac{2}{3(x-1)}$