Answer :
Let's solve the problem step by step to determine how many gallons of paint Coach Henderson used each day.
1. Identifying the Total Amount of Paint:
- Coach Henderson had a total of 16 gallons of paint.
2. Number of Days to Use the Paint:
- He used the paint over a period of 5 days.
3. Calculating the Amount of Paint Used Each Day:
- To find out how much paint was used each day when using it equally over 5 days, you need to divide the total amount of paint by the number of days.
- Therefore, the amount of paint used each day is:
[tex]\[ \text{Amount of paint used each day} = \frac{\text{Total paint}}{\text{Number of days}} = \frac{16 \text{ gallons}}{5 \text{ days}} \][/tex]
4. Perform the Division:
- Dividing 16 by 5 gives:
[tex]\[ \frac{16}{5} = 3.2 \][/tex]
Hence, Coach Henderson used 3.2 gallons of paint each day.
Now, let's match this result with the given answer choices:
(A) \(\frac{5}{16}\) – This is not 3.2.
(B) \(1 \frac{6}{5}\) – This converts to \(1 + \frac{6}{5} = 1 + 1.2 = 2.2\), which is also incorrect.
(C) \(3 \frac{1}{5}\) – This converts to \(3 + \frac{1}{5} = 3 + 0.2 = 3.2\), which is correct.
(D) \(3 \frac{1}{16}\) – This converts to \(3 + \frac{1}{16} = 3 + 0.0625 = 3.0625\), which is also incorrect.
The correct answer is:
(C) [tex]\(3 \frac{1}{5}\)[/tex]
1. Identifying the Total Amount of Paint:
- Coach Henderson had a total of 16 gallons of paint.
2. Number of Days to Use the Paint:
- He used the paint over a period of 5 days.
3. Calculating the Amount of Paint Used Each Day:
- To find out how much paint was used each day when using it equally over 5 days, you need to divide the total amount of paint by the number of days.
- Therefore, the amount of paint used each day is:
[tex]\[ \text{Amount of paint used each day} = \frac{\text{Total paint}}{\text{Number of days}} = \frac{16 \text{ gallons}}{5 \text{ days}} \][/tex]
4. Perform the Division:
- Dividing 16 by 5 gives:
[tex]\[ \frac{16}{5} = 3.2 \][/tex]
Hence, Coach Henderson used 3.2 gallons of paint each day.
Now, let's match this result with the given answer choices:
(A) \(\frac{5}{16}\) – This is not 3.2.
(B) \(1 \frac{6}{5}\) – This converts to \(1 + \frac{6}{5} = 1 + 1.2 = 2.2\), which is also incorrect.
(C) \(3 \frac{1}{5}\) – This converts to \(3 + \frac{1}{5} = 3 + 0.2 = 3.2\), which is correct.
(D) \(3 \frac{1}{16}\) – This converts to \(3 + \frac{1}{16} = 3 + 0.0625 = 3.0625\), which is also incorrect.
The correct answer is:
(C) [tex]\(3 \frac{1}{5}\)[/tex]
