Paper 2 - Calculators are allowed. 1. Mdm Farah baked an equal number of cupcakes and cookies. After she sold 32 cupcakes and 20 cookies, the number of cupcakes left was $$ \frac{4}{7} $$ of the number of cookies left. How many cookies did she bake at first?

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Let's solve the problem step by step.

**Let $$ N $$ be the number of cupcakes and cookies Mdm Farah initially baked.**

1. **After Selling:**
   - **Cupcakes left:** $$ N - 32 $$
   - **Cookies left:** $$ N - 20 $$

2. **According to the problem:**
   $$
   \text{Cupcakes left} = \frac{4}{7} \times \text{Cookies left}
   $$
   Substituting the expressions:
   $$
   N - 32 = \frac{4}{7}(N - 20)
   $$

3. **Solve for $$ N $$:**
   $$
   7(N - 32) = 4(N - 20)
   $$
   $$
   7N - 224 = 4N - 80
   $$
   $$
   7N - 4N = -80 + 224
   $$
   $$
   3N = 144
   $$
   $$
   N = \frac{144}{3} = 48
   $$

**Therefore, Mdm Farah initially baked 48 cookies.**

**Answer:** 48
Mdm Farah initially baked 48 cookies.

Paper 2 - Calculators are allowed. 1. Mdm Farah baked an equal number of cupcakes and cookies. After she sold 32 cupcakes and 20 cookies, the number of cupcakes left was \( \frac{4}{7} \) of the number of cookies left. How many cookies did she bake at first?

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