Aplay is performed for a crowd of 400 people. adult ticket cost $22 each, student tickets cost $15 each, and tickets for children cost $13.50 each. the revenue for the concert is $7840.there are 40 more children at the concert than students. how many of each type of ticket are sold?

For this case we have the following variables:

A: Represents the number of adults

S: Represents the number of students

C: Represents the number of children

For the income we have:

-----> (1)

Regarding the number of people at the concert we have:

-----> (2)

If there are 40 more children than students, we have:

-----> (3)

We substitute C in the second equation and it remains:

--------> (4)

Substituting (3) and (4) in (1) we have:

So, there are 40 children.

Substituting S in (3) and obtaining C:

Substituting S in (4):

Thus, 280 tickets of adults, 80 of children and 40 of students were sold.

280 tickets for adults, 80 for children and 40 for students

answer:      

step-by-step explanation:

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