A total of 394 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult

Question

A total of
394
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

a + s = 394     total tickets sold is 394

 

s = a - 56       56 fewer student tickets than adult

 

substitute a-56 in place of s in 1st equation and solve for a

 

a + (a - 56) = 394

2a - 56 = 394

2a = 450

a = 225 adult tickets sold

 

s = a-56 = 169 student tickets sold