SOLUTION: Jen Butler has been pricing speed-pass train fares for a group trip to New York. Three adults and four children must pay $136. Two adults and three children must pay $97. Find the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jen Butler has been pricing speed-pass train fares for a group trip to New York. Three adults and four children must pay $136. Two adults and three children must pay $97. Find the       Log On


   

Question 1176912: Jen Butler has been pricing speed-pass train fares for a group trip to New York. Three adults and four children must pay $136. Two adults and three children must pay $97. Find the price of the adult's ticket and the price of the child's ticket.
Answer by ikleyn(52810) About Me  (Show Source):
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Jen Butler has been pricing speed-pass train fares for a group trip to New York.
Three adults and four children must pay $136. Two adults and three children must pay $97.
Find the price of the adult's ticket and the price of the child's ticket.
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From the condition, you have these two equations


    3A + 4C = 136

    2A + 3C =  97.


To find A and C, use the determinant method (= Cramer's rule)


    A = %28136%2A3+-+97%2A4%29%2F%283%2A3+-+2%2A4%29 = 20 dollars for each adult tickets

    C = %283%2A97+-+2%2A136%29%2F%283%2A3+-+2%2A4%29 = 19 dollars for each child's ticket.

Solved.