Question 1150257: The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and $7,100 is collected. How many adults and how many children were at the fair?
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235)   (Show Source):
Answer by MathTherapy(10555)  (Show Source):
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The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and $7,100 is collected. How many adults and how many children were at the fair?
Let number of adults be A, and number of children, C
Then we get: A + C = 1,000 ------ eq (i)
Also, 10A + 5C = 7,100_____5(2A + C) = 5(1,420)_____2A + C = 1,420 ----- eq (ii)
 ---- Subtracting eq (i) from eq (ii)
Subtract value of "A" from 1,000 to get the number of children.
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