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?

Respuesta :

Answer:  Ethan sold more lemonade than Kayla by [tex]\frac{1}{12}\ gallon[/tex]

Step-by-step explanation:

Since we have given that

Quantity of lemonade sold by Ethan is given by

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

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

[tex]1\frac{1}{4}\ gallon=\frac{5}{4}[/tex]

Quantity of lemonade sold by Kayla only is given by

[tex]\frac{5}{4}-\frac{2}{3}\\\\=\frac{15-8}{12}\\\\=\frac{7}{12}\ gallon[/tex]

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

Denominator of 3 and 12 = 12

So,

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

Compare Ethan and Kayla ,

We know that

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

So, Ethan sold more lemonade than Kayla .

By

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

Hence, Ethan sold more lemonade than Kayla by [tex]\frac{1}{12}\ gallon[/tex]

Answer:

7/12

Step-by-step explanation:

1 1/4-2/3=?

1= 1    1/4=1/4

1-2/3+1/4

1/3+1/4

4/12+3/12=7/12

Kayla sold 7/12 gallon of lemonade.

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