Cedar point amusement park charges $51.99 for an adult admission and $26.99 for a junior admission. one thursday, the park collected $15,591.40 from a total of 360 adults and juniors. how many admissions of each type were sold?

The total price must equal the total earned from adults and the total earned from children:
51.99x + 26.99y = 15,591.4

Since we can't work with two variables, we simplify the equation by turning the second variable into a relation to the first. We know that the number of adults must add to the number of children to equal 360:
x + y = 360
x = 360 - y

Now we plug the 'x' into the equation:
51.99(360-y) + 26.99y = 15,591.4
18,716.4 - 51.99y + 26.99y = 15,591.4
18,716.4 - 25y = 15,591.4
3,125 - 25y = 0
3,125 = 25y
y = 125 children tickets sold

Now we plug in y into the equation we made earlier:
x + 125 = 360
x = 235 adult tickets sold

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