Jen Butler has been pricing Speed-Pass train fares for a group trip to New YOrk. Three adults and four children must pay $132. Two adults and three children must $94. Find the price of the adults ticket and the price of a child's ticket.

Question

Mathematics

Leonie

25 April, 00:21

Jen Butler has been pricing Speed-Pass train fares for a group trip to New YOrk. Three adults and four children must pay $132. Two adults and three children must $94. Find the price of the adults ticket and the price of a child's ticket.

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Answers (1)

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Bridget Bridges · Answer 1

A: adults

C: children

3A+4C = $132

2A+3C = $94

2A+3C=$94

2A+3C-3C = 94-3C

2A = 94-3C

2A/2 = (94-3C) / 2

A = 94/2-3C/2

so, 3 (47-3C/2) + 4C=$132

C=$18 price of the children ticket

and by using 2A+3C=$94, C=18

2A+3*18=94

2A=40 ... A=$20 price of the adults ticket

Good luck