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Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $6 for children. One hundred seventy-four adults and children attended, and $1,342 was made in ticket sales. How many children and how many adults went to the film premiere? A. 19 children; 155 adults B. 25 children; 149 adults C. 22 children; 152 adults D. 29 children; 145 adults

Respuesta :

Answer:

25 children and 149 adults

Option B

Step-by-step explanation:

Let the number of children be c and the number of adults be a.

Firstly, 174 people attended irrespective of age.

Mathematically, this means:

c + a = 174. .......(I)

Also, $1,342 was made in tickets sales. We can make mathematics out of this:

8a + 6c = 1,342. ........ (ii)

We solve no the equations simultaneously. Let c = 174 - a from 1. We substitute this into ii: this means

8a + 6(174-a) = 1,342

8a + 1044 - 6a = 1342

2a + 1044 = 1342

2a = 1342 - 1044

2a = 298

a = 298/2

a = 149

Number of children is c = 174 - a = 174-149 = 25

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