Question

A total of 644 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answer 1

Explanation:

Let x be the number of adult tickets.

Number of student tickets = 56 fewer than adult tickets

= x - 56

Total tickets = 644

x + (x - 56) = 644

x + x - 56 = 644

2x - 56 = 644

Add 56 to both sides

2x - 56 + 56 = 644 + 56

2x = 700

Divide both sides by 2

2x/2 = 700/2

x = 350

350 adult tickets were sold

Answer 2

Create formulas!

x=number of adult tickets

y=number of student tickets

x+y=644 total sold

56+y=x student was 56 less than adult

Perform substitution

(56+y)+y=644

56+2y=644

2y=588

y=294

Substitute y into the formula we created

x+294=644

x=350

350 adult tickets were sold.