Problema Solution

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day 2,000 people enter the fair and $5,050 is collected. How many children and how many adults attended?

Answer provided by our tutors

let


c = the number of children attending the fair


a = the number of adults attending the fair


On a certain day 2,000 people enter the fair and $5,050 is collected:


c + a = 2000


1.50c + 4.00a = 5050


by solving the above system of equations we find:


c = 1,180 children


a = 820 adults


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1,180 children and 820 adults attended the fair.