Question

A rectangular auditorium seats 1750 people. The number of seats in each row exceeds the number of rows by 15. Find the number of seats in each row.

Answer 1

Answer:

The number of seats in each row is 50

Step-by-step explanation:

Let

x ----> the number of seats in each row

y ----> the number of rows

we know that

The number of seats in each row multiplied by the number of rows is equal to the total number of seats in the auditorium

so

$xy=1,750$ ----> equation A

The number of seats in each row exceeds the number of rows by 15

so

$x=y+15$

isolate the variable y

$y=x-15$  ----> equation B

substitute equation B in equation A

$x(x-15)=1,750$

solve for x

$x^2-15x-1,750=0$

Solve the quadratic equation by graphing

The solution is x=50

see the attached figure

therefore

The number of seats in each row is 50