Question

first group has 25 students and 2 teachers and cost $97.50 second group has 32 students and 3 teachers and cost $127.00 what is the cost per student and teacher?

Answer 1

25s + 2t = 97.50
32s + 3t = 127.00

solve via substituion or elimination

Answer 2

these are the equations i tried and couldn't get them to come out right

Answer 3

let me calculate

Answer 4

i get s = 3.5 and t =5 ... what did you get?

Answer 5

so means students cost 3.50 and teachers cost 5.00

Answer 6

s=1.86 and knew that was wrong so didn't try for t

Answer 7

let me draw the answer - mine is correct.

Answer 8

25s +2t = 97.50 multiply by -3
32s +3t = 127 multiply by 2

-75s + -6t = -292.50
64s + 6t = 254.00
now combine,

-11s = -38.50
s = 3.50

Answer 9

25s + 2t = 97.50
25 (3.50) + 2t = 97.50
87.50 - 97.50 = -2t
-10 = -2t
t = 5.00

Answer 10

oh you did by elimination and i was trying substitution and couldn't get it to come out right thank you

Answer 11

substition would have worked. do you want me to do that way also - then you can see the step where an error was made - just let me know

Answer 12

yes please

Answer 13

25s + 2t = 97.50
32s + 3t = 127 **

3t = 127 - 32s
t = 127/3 - 32/3s