SOLUTION: The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 263 people entered the park, and the admission fees collected totaled 682.00 dolla

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Question 698423: The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 263 people entered the park, and the admission fees collected totaled 682.00 dollars. How many children and how many adults were admitted?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = # of Children
Let A = # of Adults
Equation 1: A+%2B+C+=+263
Equation 2: 4A+%2B+1.5C+=+682
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Solve equation 1 for one of the variables
Equation 1: A+%2B+C+=+263
A+=+263+-+C
Now Plug (263 - C) into equation 2 for A
Equation 2: 4A+%2B+1.5C+=+682
4%2A%28263+-+C%29+%2B+1.5C+=+682
Simplify
1052+-+4C+%2B+1.5C+=+682
Combine like terms
1052+-+2.5C+=+682
Add 2.5C to both sides
1052+=+682+%2B+2.5C
Subtract 682 from both sides
370+=+2.5C
Divide both sides by 2.5
highlight%28148+=+C%29
Now go back and plug 148 in for C
A+=+263+-+C
A+=+263+-+%28148%29
highlight_green%28A+=+115%29