Question

Question 1 of 5Gannon has swim practice 4 days a week. Practices arethe same length each day except Monday, when practice is2 hours long. If he practices a total of 5 hours, how long ispractice on each of the other 3 days?Write and solve an equation to answer the question, and then identify thestatement that is not true.A. The equation is 3x + 2 = 5.B. x represents the practice time on each of the other 3 days.C. The solution is x = 2.D. The second step in solving the equation is to divide both sides ofthe equation by 3.

Answer 1

Given:

Total number of hours = 5

Number of hours on monday = 2 hours

Number of days = 4

Let's find the number of hours each day for the remaining 3 days of practice

Since he uses 2 hours on Monday, the number of hours remaining for the other 3 days will be:

5 - 2 = 3

This means the total number of hours for the remaining 3 days is 3 hours.

Since the practices for each of the 3 days are equal, we have:

`\frac{3\text{ hours}}{3\text{ days}}=1\text{ hour per day}`

The equaltion which can also be used to solve this problem is:

`3x+2=5`

Where:

x represents the practice time on each of the other 3 days.

To solve this equation, we can divide both sides of the equation by 3:

`\begin{gathered} (3x+2)/(3)=(5)/(3) \\ \\ (3x)/(3)+(2)/(3)=(5)/(3) \\ \\ x+(2)/(3)=(5)/(3) \\ \\ x=(5)/(3)-(2)/(3) \\ \\ x=(5-2)/(3) \\ \\ x=(3)/(3) \\ \\ x=1 \end{gathered}`

The solution is x = 1

Therefore, the statement that is not true is:

C. The solution is x = 2

ANSWER:

C. The solution is x = 2