Must explain HOW you got the answer to, so I can understand it

Answer: Ethan sold more than kayla by [tex]\frac{1}{12} gallons[/tex]

Since we have given that

Quantity of lemonade sold by Ethan is given by

[tex]\frac{2}{3}[/tex] gallons

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

1 1/4 gallon = 5/4

Quantity of lemonade sold by Kayla only is given by

[tex]\frac{5}{4}[/tex] - [tex]\frac{2}{3}[/tex]

= [tex]\frac{5-8}{12}[/tex]

= [tex]\frac{7}{12}[/tex]

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

Denominator of 3 and 12 = 12

So,

[tex]\frac{2 x 4}{ 3 x 4} = \frac{8}{12}[/tex]

Compare Ethan and Kayla ,

We know that

[tex]\frac{8}{12} \geq \frac{7}{12}[/tex]

So, Ethan sold more lemonade than Kayla .

By

[tex]\frac{8}{12}[/tex] - [tex]\frac{7}{12}[/tex] = [tex]\frac{1}{12}[/tex]

Hope this helps : )

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