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At a state park, the admission fee for 2 buses and 1 van costs $9.50. In June, a group of students on 3 buses and 2 vans enters the state park for a total admission fee of $15.50. In September, a group of students on 7 buses and 4 vans enters the state park for a total admission fee of $34.50.

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The cost of a bus is $3.5 while the cost of a van will be $2.50

Systems of equation

Let x be the admission fee for a van

Let y be the admission fee for a bus

If the admission fee for 2 buses and 1 van costs $9.50 and 3 buses and 2 vans enters the state park for a total admission fee of $15.50, then the required system of equation will be:

2x + y = 9.50

3x  + 2y = 15.59

Using elimination method:

4x + 2y = 19

3x  + 2y = 15.59

Subtract

x = 19 - 15.5

x = 3.5

Since 2x + y = 9.50

2(3.5) + y = 9.50
y = 9.50 - 7

y = 2.50

Hence the cost of a bus is $3.5 while the cost of a van will be $2.50

Learn more on systems of equation here: https://brainly.com/question/13729904

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