In each day, there is a 25 minute passing period between the first two periods. Then, there are two more 10 minute passing periodsthroughout the day. Each class lasts 80 mintues. How may days go by before the total amount of time spent in passing periods adds up tothe amount of time spent in 9 full classes?

Respuesta :

Answer:

The numbers of days for the total amount of time spent in passing periods adds up to the amount of time spent in 9 full classes is;

[tex]16\text{ days}[/tex]

Explanation:

Given;

- there is a 25 minute passing period between the first two periods

- there are two more 10 minute passing periods throughout the day.

The total amount of passing periods is;

[tex]\begin{gathered} 25+2(10) \\ =25+20 \\ =45\text{ minutes} \end{gathered}[/tex]

- Each class lasts 80 mintues.

the amount of time spent in 9 full classes;

[tex]\begin{gathered} 9\times80\text{ } \\ =720\text{ minutes} \end{gathered}[/tex]

Since there are 45 minutes of passing time per day, the numbers of days for the total amount of time spent in passing periods adds up to the amount of time spent in 9 full classes is;

[tex]\begin{gathered} n=\frac{720}{45} \\ n=16\text{ days} \end{gathered}[/tex]

The numbers of days for the total amount of time spent in passing periods adds up to the amount of time spent in 9 full classes is;

[tex]16\text{ days}[/tex]