Delaney wants to sell her bicycle. The original price of the bike was $⁢450. The value of the bike has changed by −1/5 of the original price. What is the current value of the bike?


To find the current value of the bicycle, we need to account for the price change of $-\frac{1}{5}$ of the original price.

### Step-by-Step Solution:

1. **Original price of the bike:** $450.

2. **Value change:** The value has decreased by $\frac{1}{5}$ of the original price. To calculate the amount of the price decrease:
   \[
   \text{Decrease} = \frac{1}{5} \times 450 = \frac{450}{5} = 90
   \]

3. **Current value of the bike:** The value has decreased by $90 from the original price, so we subtract this from $450:
   \[
   \text{Current value} = 450 - 90 = 360
   \]

### Final Answer:
The current value of the bike is **$360**.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. If the value of the bike had decreased by $\frac{1}{10}$ of its original price, what would the current value be?
2. What percentage decrease does $\frac{1}{5}$ represent?
3. If the bike's value increases by $50 after reaching $360, what is its new value?
4. How much would the bike be worth if the value decreased by $\frac{1}{4}$ of the original price?
5. If Delaney decides to sell the bike for $400, what would the difference between this price and the current value be?

**Tip:** When dealing with fractional changes, always multiply the fraction by the original value to find the change amount.

Delaney wants to sell her bicycle. The original price of the bike was $450. The value of the bike has changed by −1/5 of the original price. What is the current value of the bike?

Find out how to calculate the current value of a bicycle after a 1/5 decrease in its original price of $450. This problem involves understanding fractional changes and calculating the new price after a reduction. Suitable for students in Grades 5-7.

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