Question

Trish wants to buy shells on her trip to the Bahamas to give to at least 4 of her closest friends. The gift shop in the hotel sends small shells for $4 and large shells for $6. Trish can spend up to $30.

Answer 1

Let:

x = Number of small shells

y = Number of large shells

$\begin{gathered} x+y\ge4_{\text{ }}(1) \\ 4x+6y\le30_{\text{ }}(2) \\ x>-3 \\ 4-x\le y\le\frac{1}{3}(15-2x) \end{gathered}$