Adult tickets to a play cost $22.00 Tickets for children cost $15.00. Tickets for a group of 11 people cost a total of $228.00.
Write and solve a system of equations to find how many children and how many adults were in the group.
Here is the set up:
Let x represent the number of adults
Let y represent the number of children
x + y = 11 (only 11 people were in the group )
22x + 15y = 228 ( This is the equation that deals with money )
Now you finish it.
Show work:
Answer: The number of children is __________
The number of adults is _______________
1 answer:
Answer:
The answer to your question is 9 adults and 2 children
Step-by-step explanation:
Data
adult ticket = $22
children ticket = $15
Total people= 11
total cost = $228
Number of adults = x = ?
Number of children = y = ?
Process
1.- Write equation to solve the problem
x + y = 11 Equation l
22x + 15y = 228 Equation ll
-Solve Equation l by x
x = 11 - y Equation lll
-Substitute equation lll in equation ll
22(11 - y) + 15y = 228
-Solve for y
242 - 22y + 15y = 228
-Simplify like terms
-7y = 228 - 242
-7y = -14
y = -14/-7
y = 2
-Find x
x = 11 - 2
x = 9
2.- Conclusion
There were 9 adults and 2 children.
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