Question

A play was attended by 348 people,some adults and some children. Admissions for adults was $1.50 and for children 75 cents. The total amount collected was $390. How many adults attended the play?

Answer 1

172

Explanation:

Let adults be x

and children be y

According to the problem,

x + y = 348 . . . (1)

1.5x + 0.75y = $390. . . (2)

From Eq 1, find the value of x:

x = 348 - y

Put this value in Eq 2:

1.5 ( 348 - y ) + 0.75y = 390

522 - 1.5y + 0.75 y = 390

-1.5y + 0.75y = 390 - 522

-0.75y = -132

y= -132/-0.75

y = 176

Put the value of y in Eq 1

x + 176 = 348

x = 348 -1 176

x = 172

No. of children = 176

No. of adults = 172