Problema Solution

The 5th grade teachers took their classes on a field trip. The 1st group has 25 students and 2 teachers and cost $97.50. The 2nd group had 32 students and 3 teachers and cost $127. What is the cost per student and per teacher?

Answer provided by our tutors

let


s = the cost per student

t = the cost per teacher


the 1st group has 25 students and 2 teachers and cost $97.50


25s + 2t = 97.50


the 2nd group had 32 students and 3 teachers and cost $127


32s + 3t = 127


by solving the system of equations


25s + 2t = 97.50

32s + 3t = 127


we find


s = $3.5


t = $5


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the cost is $3.5 per student and $5 per teacher.