Word Problem: Need Check Work

Question

Students are lined up on a playground.  If 14 students are lined up in a row, there will be five students left out.  If 17 students are lined up, they will be 4 students short.  How many rows of students are there in the first case?

Answer 1

let X= Number of rows in each case 

Y = Total number of students

14 X = Y -5 .... Eq 1

 

17 X = Y +4.... Eq 2  from these Equations

 

 

14 X = 17X - 4 - 5

or 3X = 9 

 X = 3 = Number of rows

 

17 * 3 = Y +4 

Y = 51 - 4 = 47 Total Number of Students