Annual Dance competition

Question

Mikes school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 3 senior citizen and 12 child tickets for a total of $81.The School took in $93 on the second day by selling 5 senior citizen tickets and 6 child tickets.What's the price of a senior citizen ticket and the price of a child ticket?

Answer 1

This question is proposing a system of equations:

3x + 12y = $81

5x + 6y = $93

You can solve these equations using elimination, substitution and graphing. I will use elimination.

Step 1)

3x + 12y = $81

-2(5x + 6y = $93)

Step 2)

3x + 12y = $81

-10x - 12y = -$186

-7x = -105

Step 3)

-7x = -105

- 7 - 7

x = $15

Step 4)

3(15) + 12y = $81

45 + 12y = $81

12y = 36

y= $3

Senior Citizen: $15

Children: $3

Answer 2

3s +12c = 81

5s + 6c =93

double both sides

10s +12c= 186

subtract 1st equation from 3rd

7s= 105

s = $15 senior

c= $3 child

Answer 3

3s + 12c = 81

5s + 6c = 93

Can you solve for s or c and answer?

(I would multiply the bottom equation by -2 and add to the top equation.)