Anl lterns $\newline$ $1$ $\newline$ $2$ $\newline$ $3$ $\newline$ $4$ $\newline$ $5$ $\newline$ $6$ $\newline$ $7$ $\newline$ $8$ $\newline$ $9$ $\newline$ $10$ $\newline$ a $\newline$ $\mathrm{N} \rightarrow$ $\newline$ $1$ . $\newline$ The model represents an equation. $\newline$ What value of $x$ makes the equation true? $\newline$ Enter the answer in the space provided.

Full solution

Q. Anl lterns

\newline

1

\newline

2

\newline

3

\newline

4

\newline

5

\newline

6

\newline

7

\newline

8

\newline

9

\newline

10

\newline

\newline

\mathrm{N} \rightarrow

\newline

1

\newline

The model represents an equation.

\newline

What value of

x

makes the equation true?

\newline

Enter the answer in the space provided.

Write Equation: First, let's write down the equation that the model represents. It looks like we have a bunch of $x$ 's and some numbers. So if we count the $x$ 's and the numbers, we can make the equation.
Count X's and Numbers: Counting the x's on one side and the numbers on the other side, we get something like $x + x + x + \ldots = \text{some number}$ . Let's count them properly now.
Calculate Total X's: Okay, so there are $10$ x's on one side. That means we have $10x$ on one side of the equation.
Calculate Total Numbers: Now, let's count the numbers on the other side. We got $1, 2, 3, 4, 5, 6, 7, 8, 9, 10$ , which adds up to $55$ . So the other side of the equation is $55$ .
Form Equation: So the equation we have is $10x = 55$ . Now we just need to solve for $x$ .
Divide by $10$ : To solve for $x$ , we divide both sides by $10$ . So $x = \frac{55}{10}$ .
Final Solution: Doing the division, we get $x = 5.5$ . So $x$ should be $5.5$ to make the equation true.