The expression [tex]$6x - 3$[/tex] represents the total number of stuffed animals Deena has in her collection. She decides to put the stuffed animals in 3 equal piles.

Which expression can be used to represent the number of stuffed animals Deena puts in each pile?

A. [tex]2x - 1[/tex]
B. [tex]3(2x - 3)[/tex]
C. [tex](3x - 1)(3x - 2)[/tex]
D. [tex](2x - 10) + (4x + 7)[/tex]



Answer :

Let's solve the problem step-by-step to determine the expression that represents the number of stuffed animals Deena places in each pile.

1. Total Number of Stuffed Animals:

We start with the given expression for the total number of stuffed animals Deena has:
[tex]\[ 6x - 3 \][/tex]

2. Dividing into Piles:

Deena decides to divide these stuffed animals into 3 equal piles. To find the number of stuffed animals in each pile, we divide the total number by 3:
[tex]\[ \frac{6x - 3}{3} \][/tex]

3. Simplifying the Expression:

Next, we simplify the expression by dividing each term in the numerator by 3:
[tex]\[ \frac{6x}{3} - \frac{3}{3} = 2x - 1 \][/tex]

4. Multiplying by 3:

The simplified expression inside the parentheses represents the number of stuffed animals per pile. Therefore, multiplying this simplified term by 3 (for each pile) gives:
[tex]\[ 3(2x - 1) \][/tex]

Given this step-by-step simplification, the correct expression representing the number of stuffed animals in each pile is:

(A) [tex]\( 3(2x - 1) \)[/tex]

Thus, the correct answer is:
[tex]\[ \boxed{A} \][/tex]