Let's solve the problem step-by-step.
1. Define the problem:
Pat collected 54 cans, and this is 6 times as many cans as Anne collected.
2. Set up the equation:
Let [tex]\( x \)[/tex] represent the number of cans Anne collected. According to the problem, Pat collected 6 times as many cans as Anne. This can be written as:
[tex]\[
6x = 54
\][/tex]
3. Solve the equation:
We need to find the value of [tex]\( x \)[/tex]. To do this, divide both sides of the equation by 6:
[tex]\[
x = \frac{54}{6}
\][/tex]
4. Calculate the answer:
[tex]\[
x = 9
\][/tex]
So, Anne collected 9 cans.
5. Select the correct solution method:
The correct method matches option D:
[tex]\[
6x = 54 \quad \text{Divide both sides by 6. Anne collected 9 cans.}
\][/tex]
Therefore, Anne collected 9 cans and the correct solution method is D.
