Mrs. Muhungu wants to bake cakes for a party. She needs to make at least two chocolate cakes and cannot bake more than ten cakes in total. The number of yellow cakes cannot be negative. Chocolate cake

Here are the solutions to question 1:

1. Mrs. Muhungu's Cakes

Let $x$ be the number of chocolate cakes and $y$ be the number of yellow cakes.

From the problem statement, we can establish the following constraints:

1. At least two chocolate cakes: $x \ge 2$
2. Cannot bake more than ten cakes in total: $x + y \le 10$
3. Number of yellow cakes cannot be negative: $y \ge 0$
4. The number of cakes must be integers.

The selling prices are:

• Chocolate cakes: Shs 1,500 each
• Yellow cakes: Shs 1,000 each