Ryan had $480. He spent 2/3 of it on a watch and 1/4 of the remainder on a pen. How much money did he have left?

To solve this problem, let's break it down step by step.

1. **Determine how much Ryan spent on the watch.**

   Ryan initially had $480. He spent $\frac{2}{3}$ of this amount on a watch.

   \[
   \text{Amount spent on watch} = \frac{2}{3} \times 480 = \frac{960}{3} = 320
   \]

   So, Ryan spent $320 on the watch.

2. **Calculate the remaining amount after buying the watch.**

   \[
   \text{Remaining amount} = 480 - 320 = 160
   \]

3. **Determine how much Ryan spent on the pen.**

   Ryan spent $\frac{1}{4}$ of the remaining amount on a pen.

   \[
   \text{Amount spent on pen} = \frac{1}{4} \times 160 = \frac{160}{4} = 40
   \]

   So, Ryan spent $40 on the pen.

4. **Calculate how much money Ryan has left.**

   \[
   \text{Money left} = 160 - 40 = 120
   \]

Therefore, Ryan has $120 left.

If you have any questions or need further clarification, feel free to ask!

Here are some related questions for further exploration:

1. What fraction of the total amount did Ryan spend on both the watch and the pen combined?
2. If Ryan had decided to spend 50% of the remaining amount after buying the watch on the pen instead of 25%, how much would he have spent on the pen?
3. What is the total percentage of his original amount that Ryan has left?
4. If Ryan wanted to buy another pen costing $30, would he have enough money left?
5. How much more money would Ryan have left if he had spent only half the amount he spent on the pen?
6. If Ryan initially had $600 instead of $480, how much would he have left after the same spending pattern?
7. Suppose Ryan returned the watch and got a full refund. How much money would he have in total?
8. If Ryan wanted to save 10% of his original amount, how much money should he set aside before spending?

**Tip:** When solving problems involving fractions of an amount, it helps to work systematically by calculating each step in order to avoid errors.

Learn how to calculate the amount of money left after Ryan spends on a watch and a pen. Detailed step-by-step solution included, covering fractions and subtraction. Suitable for students in Grades 4-6.

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