Question

the art museum charges $13 for each adult admission and $8 for each child the total bill for the 182 people from a achool trip was $1606 how many adults and children went to the museum?

Answer 1

Answer:

152 kids and 30 adults

Step-by-step explanation:

To solve this, we must create a system of equations

Suppose:

x = the number of adults

y = the number of children

We know that a total of 182 people attended the trip.

So:

x + y = 182

This equation represents the number of people attending the trip.

To find out the cost, look at the problem.

It costs 13$ for one adult and 8$ for a child.

So:

13x + 8y = 1606

This equation represents the total cost to attend the museum. Now, we must solve.

[There are two ways to solve a system of equations, substitution and adding/subtracting. I will use adding and subtracting. The steps to solving the system of equations is in the photos below]

The final answer is 152 kids and 30 adults

I hope this helps!!! :)