Chapter 4.3, Problem 37PPS

To determine

To calculate:To write and solve the equations to find the scores of D and W

Answer to Problem 37PPS

Equations to find score of D and W is $88=13+y$

D scored $88$ points and W sored $75$ points

Explanation of Solution

Given information:D scored $13$ points more than W and $9$ points less that R. R scored $97$ points

Calculation:

Given that R scored $97$ points

Let Dscored $x$ points

Let W scored $y$ points

Given that D scored $13$ points more than W and $9$ points less that R

Therefore,

  $x=13+y$ -----(1)

  $x=97-9$ ----(2)

Solving (2),

  $x=88$

Substituting $x=88$ in (1),

  $88=13+y$

Now, Equation is given as

  $88=13+y$

On solving above equation,

  $\begin{array}{l}y=88-13\\ y=75\end{array}$

Conclusion:

Hence, D scored $88$ points and W sored $75$ points