Adult tickets for the championship game are usually $5, but on Seniors’ Day, seniors paid $4. Children’s tickets were $2.50. Sales of 1,800 tickets totaled $7,425, and children and seniors accounted for one-half of the tickets sold. a. Using A, S, and C for the variables (quantity of each type of ticket), write an equation for the total number of tickets. b. Use information from the problem to write an equation for the number of tickets of tickets for S and C. c. Write an equation for the total income using A, S, and C. d. The value of A is implied in the information. What is it? e. Substitute the value for A and solve the two equations with S and C. to find their value. f. How many of each were sold?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Adult tickets for the championship game are usually $5, but on Seniors’ Day, seniors paid $4.
Children’s tickets were $2.50. Sales of 1,800 tickets totaled $7,425, and children and seniors
accounted for one-half of the tickets sold.
a. Using A, S, and C for the variables (quantity of each type of ticket), write an equation for
the total number of tickets.
b. Use information from the problem to write an equation for the number of tickets of
tickets for S and C.
c. Write an equation for the total income using A, S, and C.
d. The value of A is implied in the information. What is it?
e. Substitute the value for A and solve the two equations with S and C. to find their value.
f. How many of each were sold?
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