Problema Solution

The admission fee at the football game is $5 for children under the age of 18 and $8 for adults over the age of 18. On that day, there were 189 more adults than children that entered the game and the gate collected a total of $8,493 in admissions. How many adults and how many children went to the game?

Answer provided by our tutors

Let

a = the number of adults that went to the game

c = the number of children that went to the game

a = 189 + c

8a + 5c = 8493

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click here to see the system of equations solved for x and y

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a = 726 adults

c = 537 children

There were 726 adults and 537 children at the game.