Questions: A new stadium will have 7,062 seats. The stadium designer wants to divide the seats into sections. Each section must have the same number of seats. How many sections could the stadium designer use? Select all the possible numbers. 10 9 6 5

Solution Steps

To determine how many sections the stadium designer could use, we need to find the divisors of 7,062. We will check each of the given numbers (10, 9, 6, 5) to see if they divide 7,062 without leaving a remainder.

1. Check if 7,062 is divisible by 10.
2. Check if 7,062 is divisible by 9.
3. Check if 7,062 is divisible by 6.
4. Check if 7,062 is divisible by 5.

To find how many sections the stadium designer could use, we need to check the divisibility of the total number of seats \( 7062 \) by the possible section sizes \( 10, 9, 6, \) and \( 5 \).

1. For \( 10 \): \[ 7062 \div 10 = 706.2 \quad (\text{not an integer}) \]
2. For \( 9 \): \[ 7062 \div 9 = 784.6667 \quad (\text{not an integer}) \]
3. For \( 6 \): \[ 7062 \div 6 = 1177 \quad (\text{is an integer}) \]
4. For \( 5 \): \[ 7062 \div 5 = 1412.4 \quad (\text{not an integer}) \]

From the calculations, the only section size that divides \( 7062 \) evenly is \( 6 \).

Final Answer