Question

A major league baseball stadium sells three types of tickets. Reserved tickets are sold for $20 each, field-level tickets are sold for$50 each, and box seat tickets are sold $100 each. You purchase 10 total tickets for$370. You have twice as many reserved tickets as field-level tickets. How many tickets of each do you have?

1. minhkhue
There were six reserved tickets, three tickets for the field level, and one ticket for the box seat.

### How many tickets for each do you have?

Let’s say that x stands for the number of tickets that have been reserved, y stands for the number of tickets at the field level, and z stands for the number of tickets in the box seats.
Taking into consideration that a total of 10 tickets cost \$370, the following equation may be used to express this data:
20x + 50y + 100z = 370…….. (1)
x + y + z = 10 (2)
In addition, there were two times as many tickets for reserved seating as there were for field-level seating. The following equation may be used to express this:
x = 2y
x – 2y = 0…… (3)
The result of concurrently solving equations 1, 2, and 3 is that
x equals 6, y equals 3, and z equals 1
There were six reserved tickets, three tickets for the field level, and one ticket for the box seat.