Question

PLEASE HELP NEED NOW!!!

Solve this application problem using a system of equations: The Springfield Movie Theater sold adult tickets for $4.10 each and children's tickets for $2.70 each. Last Thursday, a total of $331.30 was collected from 89 movie watchers. How many of each type of ticket were sold on Thursday?

Answer 1

If the number of adult tickets are taken as x then the number of children’s tickets can be taken as (89 — x ) then we can set up the equation

4.10(x) + 2.70 (89 — x) = 331.30
4.10x + 240.3 — 2.70x = 331.30
1.4x = 331.30 — 240.30
1.4x = 91
X = 65

Therefore 65 adult tickets and 24 children tickets as 89 — 65 is 24