SOLUTION: In a school building a classroom contains 60 chairs. The number of chairs per row is three more than thrice the number of rows. Find the number of rows and number of chairs per row

Question 1170694: In a school building a classroom contains 60 chairs. The number of chairs per row is three more than thrice the number of rows. Find the number of rows and number of chairs per row.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


Let x be the number of rows.


Then the number of chairs in each row is  3x + 3.


The total chairs equation is


    w*(3w + 3) = 60,   or

    3w*(w+1) = 60

    w*(w+1) = 60/3 = 20,


and then your common sense gives you the unique solution  w = 4.


ANSWER.  There are 4 rows of chairs, with 3*4+3 = 15 chairs in each row.


CHECK.   4*15 = 60 chairs, in total.    ! Correct !

Solved.

RELATED QUESTIONS
In an office building, a room contains 90 chairs. The number of chairs per row is three... (answered by edjones,ankor@dixie-net.com)

In an office building, a room contains 54 chairs. The number of chairs per row is three... (answered by ptaylor)

In a classroom, there are 54 chairs. The number of chairs per row is three less than... (answered by macston)

A room contains 112 chairs. The number of chairs per row is five less than three times (answered by josgarithmetic)

A room contains 96 chairs. THe number of chairs per row is four more than the number of... (answered by Paul)

A room contains 96 chairs. The number of chairs per row is four more than the number of... (answered by josmiceli)

In an office building, a room contains 48 chairs. The number of chairs per row is 10 less (answered by vleith)

a room contains 144 chairs the number of chairs per row is two less than twice the number (answered by mananth)

A room contains 114 chairs. The number of chairs per row is two less than twice the... (answered by fractalier)