SOLUTION: Jen butler has been pricing speed pass train fares for a group trip to new York. three adults and four children must pay $121. two adults and three children must pay $86. find the

Question 956881: Jen butler has been pricing speed pass train fares for a group trip to new York. three adults and four children must pay $121. two adults and three children must pay $86. find the price of the adults and the price of the child's ticket.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
A=adult price; C=child price
3A+4C=$121 Multiply equation by 2.
6A+8C=$242 Subtract this below.
2A+3C=$86 Multiply equation by 3.
6A+9C=$258 Subtract equation from above.
6A+8C=$242
C=$16 ANSWER 1: A child's ticket is $16.
3A+4C=$121
3A=$121-4C
3A=$121-$64
3A=$57n Divide each side by 3.
A=$19 ANSWER 2: An adult ticket costs $19.
CHECK:
2A+3C=$86
2($19)+3($16)=$86
$38+$48=$86
$86=$86

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