SOLUTION: An amusement park sells 25 cent, 50 cent, and $1 tickets and a teacher purchases $32.50 worth of tickets. A student remarks that there are twice as many 50 cent tickets as there ar

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Question 1088918: An amusement park sells 25 cent, 50 cent, and $1 tickets and a teacher purchases $32.50 worth of tickets. A student remarks that there are twice as many 50 cent tickets as there are $1 tickets and that the number of 25 cent tickets is 30 more than the number of 50 cent tickets. How many tickets of each type are there?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
x, 25 cent tickets
y, 50 cent tickets
z, 1 dollar tickets

25x%2B50y%2B100z=3250
x%2B2y%2B4z=130
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system%28y%2Fz=2%2Cx=30%2By%29
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%28y%2B30%29%2B2y%2B4%28y%2F2%29=130-----first use this to find y, the number of 50-cent tickets...
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system%28x=50%2Cy=20%2Cz=10%29

check:
0.25%2A50%2B0.5%2A20%2B10
12.5%2B10%2B10
highlight_green%2832.5%29