Chapter 8.10, Problem 33STP

To determine

The number of goals did by Tyra is to be calculated.

Answer to Problem 33STP

  $12$ numbers of goals are made by Tyra.

Explanation of Solution

Given:

Two conditions of problem:

Tyra made $4$ times as many goals as Kailey.

Kailey made $9$ times lesser than Tyra.

Calculation:

Consider;

Number of goals Tyra made: $t$

Number of goals Kailey made: $k$

Now, the given condition written in the form eqn:

  $t=4k$....... (1)

  $t=k+9$....... (2)

Put the value of $t=3k$ in eq. (2):

  $\begin{array}{l}t=k+9\\ 3k=k+9\\ 3k=9\\ k=3\end{array}$

Now, the value of $t$ is calculated as:

  $t=4k=4\times 3=12$

That means, number of goals made by Tyra is $12$

Conclusion:

Hence, number of goals Tyra made is $12$