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 \( x \) represent the total number of tarts the baker made.

1. In the morning, the baker sold 40% of the tarts, so the remaining tarts after the morning would be:
   \[
   \text{Remaining tarts} = x - 0.4x = 0.6x
   \]

2. In the afternoon, he sold \( \frac{2}{5} \) of the remaining tarts, so the number of tarts left after this sale is:
   \[
   \text{Tarts sold in the afternoon} = \frac{2}{5} \times 0.6x = 0.24x
   \]
   Therefore, the number of tarts left after both the morning and afternoon sales is:
   \[
   \text{Tarts left} = 0.6x - 0.24x = 0.36x
   \]

3. According to the problem, after the afternoon sales, the baker had 54 tarts left, so we set up the equation:
   \[
   0.36x = 54
   \]

4. Solving for \( x \), we divide both sides by 0.36:
   \[
   x = \frac{54}{0.36} = 150
   \]

Thus, the baker made **150 tarts** altogether.

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. If the baker sold 50% of the tarts in the morning, how many would he have left?
2. How many tarts did the baker sell in the morning if he made 150 tarts?
3. If the baker had 100 tarts left instead of 54, how many tarts did he sell in total?
4. What percentage of the tarts did the baker sell in the afternoon?
5. How many tarts would the baker have left if he had only sold 30% in the morning?

**Tip:** When dealing with percentages, always consider converting them into fractions or decimals for ease of calculation.

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?

Learn how to solve a problem involving percentages and fractions. A baker sold 40% of his tarts in the morning, and 2/5 of the remaining tarts in the afternoon, leaving him with 54 tarts. Find out how many tarts he originally baked with a step-by-step algebraic solution. Perfect for Grades 6-8.

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