Question

There were 426 people at a school play. The admission price was $2 for adults and

$1 for children. The admission receipts were $670. How many adults and how many
children attended?
For blank #1, write the number of adults.
For blank #2, write the number of children.
Blank # 1
Blank # 2

Answer 1

Blank #1: 244

Blank #2: 182

Explanation:

Let x be the number of adults and y be the number of children.

By the given information, we can set up equation as:

x + y = 426

2x + 1y = 670

Subtracting the first equation from the second equation, we get:

2x + 1y - ( x + y ) = 670 - 426

2x + y - x - y = 244

x = 244

Now that we know x, we can substitute it back into the first equation to solve for y:

x + y = 426

244 + y = 426

Subtract 244 on both sides.

244 + y - 244 = 426 - 244

y = 182

Therefore, there were 244 adults and 182 children at the school play.