Question

Problem: A school has a student to teacher ratio of25:5. If there are 155 teachers at the school, howmany students are there?Mike's AnswerCarlos's Answer25 .5 1551552555x = 3875x=77525x = 775x=31There are 31 students at the school.There are 775 students at the scheel.Who is correct? Mike or Carlos? Explain the error thatwas made.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

ratio = 25:5 (students:teachers)

teachers = 155

students = ?

Step 02:

`\begin{gathered} \text{students = 155 teachers }\cdot\text{ }\frac{25\text{ students }}{5\text{ teachers}} \\ \text{students = }775\text{ } \end{gathered}`

Carlos is correct.

`(25)/(5)=(x)/(155)`

The answer is:

There are 775 students.

Carlos is correct.

Mike set the variables to find in the wrong way.