Answer: children= 8, adult= 7
Step-by-step explanation:
Let the number of children be x
Let the number of adults be y
There was a total of 15 people. This can be represented as:
x + y = 15 .......... equation i
Child tickets cost 5$ and adult tickets cost 10$. She then spent a total of 110$. This can be represented as:
5x + 10y = 110 ............. equation ii
Combine both equations
x + y = 15 ........... equation i
5x + 10y = 110 .......... equation ii
Multiply equation I by 5
Multiply equation ii by 1
5(x + y = 15)
1(5x + 10y = 110)
5x + 5y = 75 .......... equation iii
5x + 10y = 110 ........ equation iv
Subtract equation iv from iii
-5y = -35
y = 35/5
y = 7
Number of adults is 7
Since x + y = 15
x = 15 - 7
x = 8
Number of children is 8
