Question

for sadies lemonade recipe, 4 lemons are required to make 10 cups of lemonade. at what rate are lemons being used in lemons per cup of lemonade? resize the right columns to represent the unit rate.

Explanation:

Step1: Identify the rate formula

To find the rate of lemons per cup, we use the formula: \(\text{Rate} = \frac{\text{Number of lemons}}{\text{Number of cups}}\).

Step2: Substitute the given values

We know that 4 lemons make 10 cups. So substitute lemons = 4 and cups = 10 into the formula: \(\text{Rate} = \frac{4}{10}\).

Step3: Simplify the fraction

Simplify \(\frac{4}{10}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So \(\frac{4\div2}{10\div2} = \frac{2}{5} = 0.4\).

Answer:

The rate of lemons being used is \(\frac{2}{5}\) (or 0.4) lemons per cup of lemonade.