Elyse and Jamir each make lemonade. Elyse mixes 1

To find out how many cups of lemonade concentrate Elyse's recipe requires for 1 cup of water, we'll first convert the mixed numbers to improper fractions and then perform the division.

Elyse's recipe uses:

• 1 7/3 cups of water
• 2 1/1 cups of lemonade concentrate

Step 1: Convert Mixed Numbers to Improper Fractions

1. Convert 1 7/3 cups of water:

   • To convert, multiply the whole number (1) by the denominator (3) and add the numerator (7). \[ 1 \times 3 + 7 = 3 + 7 = 10 \quad \text{so} \quad 1 \frac{7}{3} = \frac{10}{3} \]

2. Convert 2 1/1 cups of lemonade concentrate:

   • Since 1/1 is equal to 1, 2 1/1 becomes: \[ 2 \times 1 + 1 = 2 + 1 = 3 \quad \text{so} \quad 2 \frac{1}{1} = 3 \]

Now we have:

• Elyse's water: \( \frac{10}{3} \) cups
• Elyse's lemonade concentrate: \( 3 \) cups

Step 2: Divide Lemonade Concentrate by Water

To find the number of cups of lemonade concentrate per 1 cup of water, we perform the following division: \[ \text{Lemonade Concentrate} \div \text{Water} = 3 \div \frac{10}{3} \] To divide by a fraction, we multiply by its reciprocal: \[ 3 \div \frac{10}{3} = 3 \times \frac{3}{10} = \frac{9}{10} \]

Conclusion

Elyse's recipe requires \( \frac{9}{10} \) cups of lemonade concentrate for 1 cup of water.

Now, to determine which lemonade has a more lemony taste, we can repeat a similar process for Jamir's lemonade recipe and compare the two values. If you would like to proceed with Jamir's calculations, please let me know!