A baker made some lemon tarts. He sold 40% of the tarts in the morning, 2 of the
5
remaining tarts in the afternoon and had 54 tarts left. How many tarts did he bake altogether?

Let's denote the total number of tarts the baker made as \( x \).

1. In the morning, the baker sold 40% of the tarts. So, the number of tarts sold in the morning is:
   \[
   0.4x
   \]

2. The number of tarts remaining after the morning sale is:
   \[
   x - 0.4x = 0.6x
   \]

3. In the afternoon, the baker sold \(\frac{2}{5}\) of the remaining tarts. So, the number of tarts sold in the afternoon is:
   \[
   \frac{2}{5} \times 0.6x = 0.24x
   \]

4. The number of tarts left after the afternoon sale is:
   \[
   0.6x - 0.24x = 0.36x
   \]

5. According to the problem, the number of tarts left is 54. Therefore, we set up the equation:
   \[
   0.36x = 54
   \]

6. To find \( x \), divide both sides of the equation by 0.36:
   \[
   x = \frac{54}{0.36} = 150
   \]

So, the baker originally baked 150 tarts.

Would you like any details or have further questions? 

Here are some related questions:
1. If the baker sold 50% of the tarts in the morning, how many tarts would he have left?
2. What percentage of the tarts did the baker sell in the afternoon?
3. How many tarts did the baker sell in total?
4. If the baker baked 200 tarts instead, how many tarts would he have left after the afternoon sale?
5. What fraction of the tarts were left after both the morning and afternoon sales?

**Tip:** When working with percentages, converting them into decimals makes calculations easier and faster.

A baker made some lemon tarts. He sold 40% of the tarts in the morning, 2 of the 5 remaining tarts in the afternoon and had 54 tarts left. How many tarts did he bake altogether?

Discover how to solve a percentage-based problem where a baker sold 40% of his tarts in the morning and 2/5 of the remaining in the afternoon, leaving him with 54 tarts. A detailed breakdown of key concepts such as percentages and proportions is provided. Ideal for Grades 5-7.

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