Question

Please, Help!

If 108 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $1.5 and total receipts for the concert was $252, how many of each went to the concert?

Answer 1

adults = 40

children = 68

Explanation:

Let the children=c

Let the adults = a

Equations

a + c = 108 (1)

3.75a + 1.5c = 252 (2)

Multiply (1) by 1.5

1.5a + 1.5c = 162 (3)

Subtract (3) from (2)

3.75a + 1.5c = 252

1.5 a + 1.5c = 162 Subtract

2.25a = 90 Divide by 2.25

a = 90/2.25

a = 40

Find the number of children

a + c = 108

40 + c = 108

c = 108 - 40

c = 68

Check

LHS

3.75 * 40 + 1.50 * 68

150 + 102

252 Which checks with the right hand side.