Question

Martha went to the movies she purchased some $14 movie tickets and some $12 movie tickets she purchased a total of 9 tickets for $114 how many of each type of ticket did she buy

Answer 1

So
represent x for number of $14 movie tickets she got
y is number of $12 movie tickets

total of 9 tickets

x+y=9

total value is 114
14x+12y=114

we have
x+y=9
14x+12y=114
solve
multiply first equation by -12 and addd to oth equesiton

-12x-12y=-108
14x+12y=114 +
2x+0y=6

2x=6
divide 2
x=3
sub back

x+y=9
3+y=9
minus 3
y=6

3 of the $14 tickets
6 of the $12 tickets

Answer 2

114-14 = 100. 100-60 (How I Got 60 Is 12*5). = 40. 40-28 = 12. 12-12 = 0. So, She Bought 3 14 Dollar Tickets And 6 12 Dollar Tickets. 
I Hope I Helped!

-MathGeek289