Chapter 1.6, Problem 1P

To determine

To calculate: Money Sam and Luke have.

Answer to Problem 1P

Sam has $34 and Luke has $39.

Explanation of Solution

Given information:

They both have $73 and Luke has $5 more than Sam.

Calculation:

Let us assume that Sam has $x and Luke has $ $\left(5+x\right)$ .

So, according to question,

  $\begin{array}{l}x+5+x=73\\ \Rightarrow 2x+5=73\\ \Rightarrow 2x=73-5\\ \Rightarrow 2x=68\\ \Rightarrow x=\frac{68}{2}\\ \Rightarrow x=34\end{array}$

Since x=34

Therefore, Sam has $34 and

Luke has $ $\left(5+x\right)$

So, putting the value of x in the above equation we get-

  $5+34=39$

Therefore, Luke has $39

So, Sam has $34 and Luke has $39.