Respuesta :
Answer:
C = 15
Step-by-step explanation:
Let A = # of adults and C = # of children.
A + C = 20
15A + 10C = 225
There are several ways to solve this system; here is one of them.
From the first equation: C = 20 - A
Substitute into the second equation: 15A + 10(20 - A) = 225
Multiply, collect terms, and subtract 200 from each side: 5A = 25 => A = 5
Since C = 20 - A, C = 15
The number of children's ticket bought is 15 and the number of adult tickets bought is 5.
The system of equations that can be derived from the question are:
a + b = 20 equation 1
15a + 10b = 225 equation 2
Where:
a = number of children's ticket bought
b = number of adult tickets bought
In order to determine the value of b, multiply equation 1 by 15.
15a + 15b = 300 equation 3
Subtract equation 2 from 3
5b = 75
b = 15
In order to determine the value of a, substitute for b in equation 1
a + 15 = 20
a = 20 - 15
a = 5
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