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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?

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a + j = 360
51.99a + 26.99j = 15591.40

a + j = 360
a = 360 - j

51.99(360 - j) + 26.99j = 15591.40
18716.4 - 51.99j + 26.99j = 15591.40
18716.4 - 25j = 15591.40
-25j = -3125
j = 125

a + (125) = 360
a = 235

125 juniors and 235 adults

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