CheyenneH98
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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?

Respuesta :

jcherry99

Answer:

adults = 40

children = 68

Step-by-step 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.

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