Chapter 9.3, Problem 5P

To determine

To find: The amount that is paid by Dick and Connie.

Answer to Problem 5P

Dick paid $\$82$ and Connie paid $\$46$ .

Explanation of Solution

Given:

The cost of radio is $\$128$ .

Dick paid $\$36$ more than Connie.

Calculation:

Let the Dick’s amount be $\$y$ and the Connie’s amount be $\$x$ .

From the given information,

  $x+y=128$ …… (1)

And,

  $y-x=36$ …… (2)

From equation (2) $y=36+x$ .

Substitute $y=36+x$ in equation (1).

  $\begin{array}{c}x+36+x=128\\ 2x=128-36\\ 2x=92\\ x=46\end{array}$

Substitute $x=46$ in equation (2).

  $\begin{array}{c}y-46=36\\ y=36+46\\ =82\end{array}$

Therefore, Dick paid $\$82$ and Connie paid $\$46$ .