A student brings whole cherry and cheese danishes to his class for his birthday. The number of cherry danishes he brings is at least 3 more than \(\frac{2}{3}\) the number of cheese danishes, but no more than twice the number of cheese danishes. Find the smallest possible value for the total number of danishes he brings.
3 + 2/3 cheese < 2 cheese
3 < 4/3 cheese
cheese> 9/4 the smallest whole number would be 3 cheese then 5 cherry total 8