SOLUTION: The fifth-grade teachers took their classes on a field trip to a museum. The first group had 25 students and 2 teachers and cost $97.50. The sencond group had 32 students and 3 tea

Question 1014640: The fifth-grade teachers took their classes on a field trip to a museum. The first group had 25 students and 2 teachers and cost $97.50. The sencond group had 32 students and 3 teachers and cost $127. Whats the cost oer student, per teacher?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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S=student cost; T=teacher cost
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32S+3T=$127 . Multiply this by 2.
64S+6T=$254 Subtract this below
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25S+2T=$97.50 . Multiply this by 3.
75S+6T=$292.50
64S+6T=$254 . Subtract this (from above.)
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11S=$38.50
S=$3.50
ANSWER 1: Student tickets cost $3.50.
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32S+3T=$127
32($3.50)+3T=$127
$112+3T=$127
3T=$15
T=$5.00
ANSWER 2: Teacher tickets cost $5.00.
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CHECK:
25S+2T=$97.50
25($3.50)+2($5.00)=$97.50
$87.50+$10.00=$97.50
$97.50=$97.50

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