Eloise baked some cupcakes. She gave 1 9 of the cupcakes to her friend. She sold 3 4 of the remainder andher family ate the rest. If her family ate 28 cupcakes, how many cupcakes did she bake?

1 answer

If Eloise's family ate 28 cupcakes, then the 3/4 of the remainder after giving some to her friend is equal to 28 cupcakes.
3/4 of the remainder is 28 cupcakes, so the total number of cupcakes remaining after selling is 4/4 - 3/4 = 1/4.
If 1/4 represents 28 cupcakes, then 100% (which represents the total number of cupcakes she baked) is equal to 4 * 28 = 112 cupcakes. Answer: \boxed{112}.