A class collects $50 to buy flowers for a classmate who is in the hospital. Roses cost $3 each, and carnations cost $2 each. No other flowers are to be used. How many different bouquets could be purchased for exactly $50?
<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>7<spanclass=′latex−bold′>(C)</span>9<spanclass=′latex−bold′>(D)</span>16<spanclass=′latex−bold′>(E)</span>17