PLEASE HELP ME SOLVE THIS

Question

The cost of a ticket to the circus is $15.00 for children and $38.00 for adults. On a certain day, attendance at the circus was 1,100 and the total gate revenue was $34,900. How many children and how many adults bought tickets?

Answer 1

Note the process:

A. What is being asked?

B. What are we given?

C. Map out a visual and label

D. What do we already know from past learning that is relevant?

E.1. Figure out how to manipulate all the resultant relationships to find the answer; and

E.2. if you don't know what to do, start doing something that you do know can be done, and see where it takes you.

G. Did you answer the question being asked?

H Is your answer reasonable.

Use this process for everything.

A. How many children and how many adults bought tickets?

B. Cost of a ticket to the circus is $15.00 for children and $38.00 for adults.

attendance at the circus was 1,100

revenue was $34,900

C.

D. If cost of adult ticket is $30 per adult, then total adults brought in 15a, a = number of adults

If cost of children's ticket is $15 per adult, then total adults brought in 30c, c = number of children

Total revenue is how much children brought in plus how much adults brought in.

Total attendance is number of children, c, plus number of adults, a.

THEREFORE:

30a + 15c = 34900

a +c = 1100

E. Behold, a simultaneous equations with same number of unknowns as equations.

Use one equation to find one of the variables in terms of the other, e.g. a=1100-c

substitute in to the other equation. e.g. 30(1100-c) + 15c = 34500

Solve for c, then substitute result into either one of the equations to find a.