Answer:
The number of good guys is 75.
Explanation:
Given:
The ratio of "good guys" to "bad guys" on a high school teaching faculty is 5 to 1.
There are 90 teachers in the high school.
Now, to find the number of good guys.
Let the number of good guys be
![5x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/36k6qrf1ebn9axts79ed0xuv0w3jkm7sd5.png)
And the number of bad guys be
![1x.](https://img.qammunity.org/2021/formulas/mathematics/high-school/jnkjxk83w90f3m0hk9b5f0pi3n41812s0d.png)
Total number of teachers = 90.
According to question:
![5x+1x=90.](https://img.qammunity.org/2021/formulas/mathematics/high-school/p55cg4dzi9snnctg2cd984l17kmi6kv3tx.png)
![6x=90](https://img.qammunity.org/2021/formulas/mathematics/high-school/x6yb37gfedphs2jq57qitmvn2tden0cry4.png)
![x=15.](https://img.qammunity.org/2021/formulas/mathematics/high-school/8sv12zt3m6lrmjgdh4bn5fg20nzhuoo3mn.png)
Now, to get the number of good guys:
![5x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ry1urxllmi525w2dy8njmcowc2zrv68oqq.png)
Putting the value of x we get:
![5* 15=75.](https://img.qammunity.org/2021/formulas/mathematics/high-school/pqbod02rywndjuxh5hc96q48ebxjcvh7kf.png)
Therefore, the number of good guys is 75.