Question

Ethan sold 2/3 gallon of lemonade. Kayla sold some too. Together they sold 1 1/4 gallons. Who sold more lemonade, Ethan or Kayla? How much more?

Answer 1

Answer:  Ethan sold more lemonade than Kayla by $\frac{1}{12}\ gallon$

Step-by-step explanation:

Since we have given that

Quantity of lemonade sold by Ethan is given by

$\frac{2}{3}\ gallon$

Quantity of lemonade sold by Ethan and Kayla together is given by

$1\frac{1}{4}\ gallon=\frac{5}{4}$

Quantity of lemonade sold by Kayla only is given by

$\frac{5}{4}-\frac{2}{3}\\\\=\frac{15-8}{12}\\\\=\frac{7}{12}\ gallon$

To get who sold more lemonade we will first make the denominator same ,

Denominator of 3 and 12 = 12

So,

$\frac{2\times 4}{3\times 4}=\frac{8}{12}\ gallon$

Compare Ethan and Kayla ,

We know that

$\frac{8}{12}>\frac{7}{12}$

So, Ethan sold more lemonade than Kayla .

By

$\frac{8}{12}-\frac{7}{12}=\frac{1}{12}\ gallon$

Hence, Ethan sold more lemonade than Kayla by $\frac{1}{12}\ gallon$