SOLUTION: the cost for a ride on the big wheel flyer for 2 adults and 2 children is $116. the cost for 5 adults and 3 children is $245. find the cost of a class of 4 teachers and 44 pupils t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the cost for a ride on the big wheel flyer for 2 adults and 2 children is $116. the cost for 5 adults and 3 children is $245. find the cost of a class of 4 teachers and 44 pupils t      Log On


   

Question 990273: the cost for a ride on the big wheel flyer for 2 adults and 2 children is $116. the cost for 5 adults and 3 children is $245. find the cost of a class of 4 teachers and 44 pupils to ride on the big wheel flyer.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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A=cost for 1 adult; C=cost for 1 child
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2A+2C=$116 Multiply by (-3).
-6A-6C=-$348 Add this equation below.
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5A+3C=$245 Multiply by 2.
. 10A+6C=$490 Add equation from above.
. -6A-6C=-$348
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4A=$142
A=$35.50
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ANSWER 1: It costs $35.50 per adult to ride.
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2A+2C=$116
2C=$116-2A
C=($116-2A)/2
C=($118-2($35.50))/2=($116-$71)/2=$45/2=$22.50
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ANSWER 2: It costs $22.50 per child to ride.
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CHECK:
10A+6C=$490
10($35.50)+6($22.50)=$490
$355+$135=$490
$490=$490
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G=cost for the group (4 teachers and 44 students)
G=4A+44C
G=4($35.50)+44($22.50)
G=$144+$990
G=$1134
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ANSWER: It would cost $1134 for 4 teachers and 44 students to ride.