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Question

Tanya bought three adult tickets and one children's ticket to a movie for $22.40

. Li bought five adult tickets and three children's tickets for $42.00

. Find the cost of one adult ticket and the cost of one children's ticket.

Answer 1

3a+c=22.50

5a+3c =42

9a+3c =3(22.50)=67.50

5a+3c = 42

4a = 67.50-42 = 25.50

a = 25.50/4= $6.375 = about $6.37 or $6.38 per 1 adult ticket

c = 22.50-3a = 22.5- 3(6.375) = 22.5-19.125=$3.37 or $3.38 per 1 child ticket

3a+c= 3(6.375)+ 3.375 = 19.125+3.375 = 22.5

5a+3c= 5(6.375)+3(3.375) = 42