## The admission fee at an amusement park is $3.25 for children and $5.00 for adults. On a certain day, 278 people entered the park, and

Question

The admission fee at an amusement park is $3.25 for children and $5.00 for adults. On a certain day, 278

people entered the park, and the admission fees collected totaled $1201. How many children and how

many adults were admitted?

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Mathematics
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2021-07-19T14:01:41+00:00
2021-07-19T14:01:41+00:00 1 Answers
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## Answers ( )

Answer:Children= 108

Adults= 170

Step-by-step explanation:First, we structure the two equations:x= number of tickets for children

y= number of tickets for adults

3.25x + 5y= 1,201

x + y= 278

Now, we isolate x in one equation and substitute in the second one:x= 278 – y

3.25*(278 – y) + 5y= 1,201

903.5 +1.75y = 1,201

y= 297.5/1.75

y= 170

Finally, we determine the value of x:x= 278 – 170

x= 108

Prove:3.25*108 + 5*170= 1,201

170 + 108= 278