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Pat collected 54 cans of food for a food drive. This is 6 times as many cans as Anne collected. How many cans did Anne collect? Select the correct solution method below, using [tex]$x$[/tex] to represent the number of cans Anne collected.

A. [tex]$x + 6 = 54$[/tex]. Subtract 6 from both sides. Anne collected 48 cans.

B. [tex]$\frac{x}{6} = 54$[/tex]. Multiply both sides by 6. Anne collected 324 cans.

C. [tex]$x - 6 = 54$[/tex]. Add 6 to both sides. Anne collected 60 cans.

D. [tex]$6x = 54$[/tex]. Divide both sides by 6. Anne collected 9 cans.

Sagot :

GinnyAnsweridn
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.
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