Answer:
They bought 0 ticket of closest section and 7 tickets of other section
Step-by-step explanation:
- Callie and Madison went to buy concert tickets for themselves and
their five friends
- That mean they are 7
- Tickets for the closest section were $45 each
- Tickets for other section were $30 each
- They ended up spending a total of $210
- Assume that they buy x tickets for closest section and y tickets for
the other section
∵ They want 7 tickets
∴ x + y = 7 ⇒ (1)
∵ The cost of the closest section ticket was $45
∵ The cost of the other section ticket was $30
∵ They spent $210 on them
∴ 45x + 30y = 210
- All terms have common factor 15, then divide them by 15
∴ 3x + 2y = 14 ⇒ (2)
* Now we have a system of equations to solve
- Multiply equation (1) by -2 to eliminate y
∴ -2x - 2y = -14 ⇒ (3)
- Add equations (2) and (3)
∴ x = 0
- substitute the value of x in equation (1) to find y
∴ 0 + y = 7
∴ y = 7
∵ x represents the number of tickets of the closest section and y
represents the number of tickets in the other section
∴ They bought 0 ticket of closest section and 7 tickets of other
section
