Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. A group of 8 people spent a total of $86 on tickets to a movie. How many adults and how many children were in the group? Write a system of linear equations based on the description. Use X to represent the number of adults and Y to represent the number of children.

Sagot :

Total price paid : 86=12*X+10*Y
Total number of people : 8=X+Y
Hence Y=8-X thus 86=12*X+10(8-X) => 86-80=2X => X=3 => Y=5

There were 3 adults and 5 children