Chapter 9.3, Problem 6P

To determine

To find: The score of Annette and June.

Answer to Problem 6P

Annette’s score is $225$ and June’s is $200$ .

Explanation of Solution

Given:

The combined score is $425$ .

June’s score is 25 less than Annette’s score.

Calculation:

Let the Annette’s score be $\$y$ and the June’s score be $\$x$ .

From the given information,

  $x+y=425$ …… (1)

And,

  $x=y-25$ …… (2)

Substitute $x=y-25$ in equation (1).

  $\begin{array}{c}y-25+y=425\\ 2y=425+25\\ 2y=450\\ y=225\end{array}$

Substitute $y=225$ in equation (2).

  $\begin{array}{c}x=225-25\\ =200\end{array}$

Therefore, Annette’s score is $225$ and June’s is $200$ .