The admission fee for the famous (and fabulously popular) MathLand Amusement Par

Question

The admission fee for the famous (and fabulously popular) MathLand Amusement Park is $15.00 for children and $40.00 for adults. The ticket-seller announced that she had sold a total of 22,000 tickets last week! The treasurer proclaimed that the park had taken in an amazing $633, 975 in admissions during that same week. How many children bought tickets? How many adults? Be sure to do all of the following: give a key (define your variables) write a system of equations. solve the system by substitution or elimination, no guess and check. check your answers state your answer in a complete sentence

Explanation / Answer

Let x represent the no of children , y represent no of adults

then x+y= 22000 -----(1)

total cost is : 15x + 40y = 633975 ----(2)

eq (1) x 15 : 15x + 15y = 330000 ---(3)

eq (2) - eqn (3) => 25y = 303975 or y = 303975/25 = 12159 adults

and 22000 - 12155 = 9841 children

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