Donald is sending a fancy gift basket to his mother for her birthday. He can include chocolate-covered strawberries for $4.50 each and gourmet cupcakes for $3.25 each. In addition, shipping costs $15. Donald plans to spend no more than $50 in total.
If s represents the number of strawberries included and c represents the number of cupcakes included, this situation can be described by the inequality
. If Donald includes 6 strawberries, he can include at most
cupcakes.
4.5s + 3.25c + 15 <= 50
4.5(6) + 3.25c + 15 <= 50
27 + 3.25c + 15 <= 50
42 + 3.25c <= 50
3.25c <= 8
c <= 2.46
Therefore, if Donald includes 6 strawberries, he can include at most 2 cupcakes.