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A group consisting 10 children and adults went to a movie theater. Children's tickets cost $5 each and adults' tickets cost $8 each, and the total cost for 10 people was $62. How many children were in the group?

Respuesta :

Solution

For this case we know that we have x children and y number of adults

We also know that the individual cost for children is $5 and for adults is $8

Then we can create the following equations:

x+ y =10 (Total number od people)

5x + 8y= 62 ( total cost )

We can solve for x from the first equation and we got:

x = 10 -y

Then we can replace in the second equation and we got:

5(10-y) + 8y = 62

50 -5y +8y = 62

3y = 62-50

3y= 12

y= 4

And solving for x we got:

x= 10-4 = 6

Then we have:

6 Children and 4 adults

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