Mr. Schwanekamp bought 5 tickets to a local show and spent $26. He bought a combination of child tickets for $2 and adult tickets

Question

Mr. Schwanekamp bought 5 tickets to a local show and spent $26. He bought a combination of child tickets for $2 and adult tickets for $10 each.

Write a system of equations to determine the number of adult tickets, a, and the number of child tickets, c, he bought.

Solve the system.
PLEASE INCLUDE EQUATIONS USED

niczorrrr · Answer

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    #SPJ1

Solving system of linear equations

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