Answer:
There were 248 adult tickets and 248 kid tickets.
Step-by-step explanation:
a = number of adult tickets
k = number of kid tickets
a + k = 524 10a + 5k = 3860
Multiply the equation on the right all the way through by -5 so that we can eliminate the k's when we add the equations together.
-5(a+ K) = 524(-5)
-5a - 5k = -2620
Add the two equations together:
-5a - 5k = -2620
10a + 5K = 3860
5a = 1240 Divide both sides by 5
a = 248 There are 248 adult tickets. Plug in 248 for a in either of the original equations.
a + k = 524
248 + k = 524 Subtract 248 from 524 to find the number of kid tickets.
There are 276 kid tickets.
Check:
Plug in 276 for k and 248 for adult to both equations to see if they work
a + k = 524
248 + 276 = 524
524 = 524
10a + 5k = 3860
10(248) + 5(276) = 3860
2480 + 1380 = 3860
38060 = 3860
