There are 150 adults and 225 children at a zoo. if the zoo makes a total of $5100 from the entrance fees, and of an adult and a child to attend is $31, how much does it cost for a parent and child

Step-by-step explanation:

This problem is solved by using a system of equations.

We know that there are 150 adults and 225 children, which makes a total of $5100. So, the variables here will represent the cost per adult and the cost per children. The first equation is

Where represents the cost per adult and represents the cost per child.

We also know that the entrance fee of an adult and a child is $31, this means

Now, we isolate in the second equation, to replace it into the first equation and solve for , as follows

Then,

Now, we use this value to find the other one

Therefore, the entrance fee per parent is $25, while the cost per child is $6.

step-by-step explanation:

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step-by-step explanation:

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