Question

ethan sold \\(\frac{2}{3}\\) gallon of lemonade. kayla sold some lemonade too. together, they sold \\(1 \frac{1}{4}\\) gallons. who sold more lemonade, ethan or kayla? how much more? check your work. kayla sold \\(\frac{\square|\square}{\square}\\) gallon of lemonade.

Explanation:

Step1: Find Kayla's sales

Let \( K \) be Kayla's sales. Total sales: \( 1\frac{1}{4}=\frac{5}{4} \), Ethan's: \( \frac{2}{3} \). So \( K=\frac{5}{4}-\frac{2}{3} \). Find common denominator (12): \( \frac{15}{12}-\frac{8}{12}=\frac{7}{12} \).

Step2: Compare Ethan and Kayla

Ethan: \( \frac{2}{3}=\frac{8}{12} \), Kayla: \( \frac{7}{12} \). \( \frac{8}{12}>\frac{7}{12} \), so Ethan sold more.

Step3: Find difference

\( \frac{8}{12}-\frac{7}{12}=\frac{1}{12} \).

Answer:

Kayla sold \(\frac{7}{12}\) gallon. Ethan sold more, by \(\frac{1}{12}\) gallon.