Esa's Pastries sells cupcakes for 3.50

Question

each and donuts for 1.50

each. The given inequality represents the difference, in dollars, between cupcake sales and donut sales on a typical day based on c

, the number of cupcakes sold and d

, the number of donuts sold. If Esa sold 200

donuts on a typical day, what is the minimum number of cupcakes she sold on that day?

Answer 1

The given inequality is:

3.50c - 1.50d < 0

Substitute d = 200 into the inequality:

3.50c - 1.50(200) < 0

3.50c - 300 < 0

3.50c < 300

c < 300 / 3.50

c < 85.71

Since the number of cupcakes sold must be a whole number, the minimum number of cupcakes Esa sold on that day is 85 cupcakes.