The system of equations is
a + c = 5
10a + 2c = 26
The number of adult tickets he bought is 2
and the number of child tickets he bought is 3
Solving system of linear equations
From the question, we are to write a system of equations
From the given information,
Mr. Schwanekamp bought 5 tickets
a represents the number of adult tickets
and c represents the number of child tickets
Thus,
a + c = 5 ----------- (1)
Also,
He spent $26 and bought a combination of child tickets for $2 and adult tickets for $10 each
Thus,
10a + 2c = 26 ------------ (2)
Hence, the system of equations is
a + c = 5
10a + 2c = 26
Solving the system
From equation (1)
a + c = 5
a = 5 - c ---------- (3)
Substitute into equation (2)
10(5-c) + 2c = 26
50 - 10c + 2c = 26
50 - 8c = 26
50 - 26 = 8c
24 = 8c
c = 24/8
c = 3
Substitute the value of c into equation (3)
a = 5 -c
a = 5 - 3
a = 2
Hence,
The number of adult tickets he bought is 2
and the number of child tickets he bought is 3
Learn more on Solving system of equations here: https://brainly.com/question/13729904
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