2009 AMC 10A Problems/Problem 8
Contents
[hide]Problem 8
Three Generations of the Wen family are going to the movies, two from each generation. The two members of the youngest generation receive a % discount as children. The two members of the oldest generation receive a discount as senior citizens. The two members of the middle generation receive no discount. Grandfather Wen, whose senior ticket costs , is paying for everyone. How many dollars must he pay?
Solution
A senior ticket costs , so a regular ticket costs dollars. Therefore children's tickets cost half that, or , so we have:
So Grandfather Wen pays , or .
Solution 2
Using average, we know that assuming the middle-aged people's ticket cost x dollars, 2*(100%x+75%x+50%x). We average this into 2*(75%x+75%x+75%x). We know that 75%x=6.00, which means 6*6 is the answer, or 36. -RealityWrites
See Also
2009 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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All AMC 10 Problems and Solutions |
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