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?
You can set up an equation 50=2x+3y where x is the number of carnations and y is the number of roses. Then, you can express x as x=25-3/2y. As x must be positive, you can write 25-3/2y>0, 25>3/2 y. So, y can be 2,4,6,8,10,12,14,16 and the corresponding x's giving u 8 combinations.
