15. You and three of your cousins shuck six dozen ears of corn for a picnic. Write an equation you can use to find the number of ears \( n \) for each person if each of you shucks the same number of ears.

To find the number of ears of corn \( n \) that each person shucks, we can start by identifying the known conditions: 1. There are 6 dozen ears of corn. 2. You and three cousins make a total of 4 people. First, we need to convert the number of dozens into individual ears of corn. Since 1 dozen equals 12, we can calculate the total number of ears of corn: \[ \text{Total ears} = 6 \text{ dozen} \times 12 \text{ ears/dozen} = 72 \text{ ears} \] Next, we can set up the equation to find the number of ears \( n \) that each person shucks. Since there are 4 people shucking the corn, the equation will be: \[ 4n = 72 \] Now, we can solve for \( n \) by dividing both sides of the equation by 4: \[ n = \frac{72}{4} \] Let's calculate this value. Calculate the value by following steps: - step0: Calculate: \(\frac{72}{4}\) - step1: Reduce the numbers: \(\frac{18}{1}\) - step2: Calculate: \(18\) After performing the calculation, we find that: \[ n = 18 \] Thus, each person shucks 18 ears of corn.