SOLUTION: The fifth-grade teachers took their classes on a field trip to museum. The first group had 25 students and two teachers and cost $97.50. The second group had 32 students and three

Question 538107: The fifth-grade teachers took their classes on a field trip to museum. The first group had 25 students and two teachers and cost $97.50. The second group had 32 students and three teachers and cost $127. What is the cost per student and per teacher.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let cost per student be x
and for teacher be y
25x+2y=97.50
32x+3y=127
students x $ ,
Teachers y $ ,

25 x + 2 y = 97.5 .............1
32 x + 3 y = 127 .............2
Eliminate y
multiply (1)by -3
Multiply (2) by 2
-75 x -6 y = -292.5
64 x + 6 y = 254
Add the two equations
-11 x = -38.5
/ -11
x = 3.50
plug value of x in (1)
25 x + 2 y = 97.5
87.5 + 2 y = 97.5
2 y = 97.5 -87.5
2 y = 10
y = 5.00
students $3.5
Teachers $5
m.ananth@hotmail.ca

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