Chapter 1, Problem 8CR

To determine

To translate given problem into an equation and find the amount did Mark spend.

Answer to Problem 8CR

  $d.\left(m+1\right)+m=5$

Mark spent $2.

Explanation of Solution

Given information:

Katie spent $\$1$ more than Mark and they spent $\$5$ in total.

Calculation:

Let the money spent by Mark (in $\$$ ) = $m$

According to the first condition:

Katie spent ( $\$1$ more than Mark) = $m+1$

According to the second condition:

Total money spent by both Katie and Mark = $\$5$

  $m+\left(m+1\right)=5$

Or

  $m+m+1=5$

Now, we need to solve it for variable m

Combine like terms:

  $2m+1=5$

Subtract 1 from both sides

  $\Rightarrow 2m+1-1=5-1$

  $\Rightarrow 2m=4$

Divide both sides by 2

  $\Rightarrow \frac{2m}{2}=\frac{4}{2}$

  $\Rightarrow m=2$

Therefore, a correct equation in given option is $d.\left(m+1\right)+m=5$ and the money spent by Mark is $\$2$ .