Question

There are 200 adults and 300 children at a zoo. The zoo makes a total of $7000 from the entrance fees, and the cost for an adult and a child to attend is $30.
Write a system of equations that corresponds to the situation. Do not solve.

Answer 1

Answer:

200a+300c=7000

a+c=30

Try#1

200 adults. 300 children. 7000$. Do not solve. Equations.

Since the cost for a child AND an adult is 30$, then it is 15$ for a child, and 15$. I tried it and it does not make sense. So....

Try#2

Let c be the cost of children and a be the cost for adults.

200a+300c=7000

a+c=30

This is all I can do.

Answer 2

The system of equations which corresponds to the situation of zoo to find the entrance fees of child and adult are 200x+300y=7000 and x+y=30.

What is the solution of equation?

The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.

To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.

Let the cost of adults attend the zoo is x and the cost of child attended the zoo is y. There are 200 adults and 300 children at a zoo the zoo makes a total of $7000 from the entrance fees. Thus,

200x+300y=7000

The cost for an adult and a child to attend is $30. Thus,

x+y=30

Thus, the system of equations which corresponds to the situation of zoo to find the entrance fees of child and adult are 200x+300y=7000 and x+y=30.

Learn more about the solution of the equation here;

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