Question

At the movie theatre, child admission is $6.40 and adult admission is $9.50. On Sunday, 165 tickets were sold for a total sales of $1266.80. How many adult tickets were sold that day?

Answer 1

• 68

Explanation:

1. Define unknowns:

• x - number of adult tickets ($9.50 each)

• y - number of child tickets ($6.40 each)

2. Make system of equations:

• 
  `x+y=165`
• 
  `9.5x+6.4y=1266.8`

3. Multiply both sides of first equation by 6.4:

• 
  `6.4x+6.4y=1056`
• 
  `9.5x+6.4y=1266.8`

4. Subtract first equation from second one:

• 
  `(9.5x-6.4x)+(6.4y-6.4y)=1266.8-1056`
• 
  `3.1x=210.8`
• 
  `x=68`