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

Answer:

• 68

Step-by-step 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:

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