Question

The metropolitan performs the service from Chorrilos to Comas and on one of its trips I collect S/ 120 for the children, knowing that for any route the adult ticket is S/ 3 and S/ 2 for children. How many adults and how many children left Chorrillos?

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Answer 1

Solving a system of equations, we will see that 30 children and 20 adults left Chorrilllos.

How many adults and how many children left Chorrillos?

Let's define the variables:

• x = number of adult tickets sold.
• y = number of children tickets sold.

Here we know that they collected $120 in total, but we don't know the total number of tickets sold, so the system is incomplete.

Let's say that they sold a total of 50 tickets, with that assumption, we can write the system of equations:

x + y = 50

x*$3 + y*$2 = $120

To solve the system, we start by isolating x in the first equation:

x = 50 - y

Now we can replace that in the other eq:

(50 - y)*$3 + y*$2 = $120

$150 - y*$1 = $120

y = 150 - 120 = 30

So, 30 of the 50 tickets were children tickets, and the other 20 were adult tickets.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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