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taurus [48]
3 years ago
6

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?
Mathematics
1 answer:
Alja [10]3 years ago
6 0

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

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