2008 AMC 12B Problems/Problem 5
Problem 5
A class collects dollars to buy flowers for a classmate who is in the hospital. Roses cost
dollars each, and carnations cost
dollars each. No other flowers are to be used. How many different bouquets could be purchased for exactly
dollars?
Solution
The class could send just carnations (25 of them). They could also send 22 carnations and 2 roses, 19 carnations and 4 roses, and so on, down to 1 carnation and 16 roses. There are 9 total possibilities (from 0 to 16 roses, incrementing by 2 at each step), which is answer choice C.
See Also
2008 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 4 |
Followed by Problem 6 |
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All AMC 12 Problems and Solutions |