What is the answer to this word problem?

A play is in town. On the first day, the play sells 4 senior citzen tickets and nine child tickets for a total of $86 dollars. On the next day, the play sells 2 senior citzen tickets and 8 child tickets and makes $64 dollars. So, what is the price of one senior citizen ticket and one child ticket?

Anonymous2013-09-03T16:12:32Z

Favorite Answer

4s+9c=86
2s+8c=64

and solve for s , c

?2013-09-03T23:17:02Z

s = cost of a senior citizen ticket
c = cost of a child ticket

On the first day, 4s+9c=86
On the second day, 2s+8c=64

Multiply the second equation by -2 to get

-4s-16c= -128
4s+9c=86

Combine both equations to get

-7c= -42

Divide both sides by -7 to get

c=6

plug that back in as c to get

s=8

ranjankar2013-09-03T23:39:39Z

4s + 9c = 86
2s + 8c = 64

MULTIPLY EQUATION 2 BY 2

4s + 16c = 128
4s + 9c = 86

SUBTRACT

7c = 42

c = $6
s = $ 8 ANSWER