https://file.aiquickdraw.com/mathbot/file/1729771388651mzdb88uy.jpg

Let's break down and solve the two parts of the question shown in the image.

### (a) Nicole owns 80 shares of a stock. Yesterday the value of each share went up by $8. What was the total change in value of her shares?

**Solution**:
The total change in value can be calculated by multiplying the number of shares by the change in value per share.

\[
\text{Total Change} = 80 \times 8 = 640
\]

So, the total change in the value of her shares is **640 dollars**.

---

### (b) A private club was reduced by 72 members in 8 weeks. Its size changed by the same number of members each week. What was the change in the club's size each week?

**Solution**:
To find the weekly change, divide the total reduction in members by the number of weeks.

\[
\text{Weekly Change} = \frac{72}{8} = 9
\]

Since it's a reduction, the weekly change is **-9 members**.

---

Would you like further details on any part of this? Here are some related questions:

1. What would the total change be if the stock's value had decreased instead?
2. How would the answer change if Nicole owned 100 shares?
3. If the stock went up $10 per share instead of $8, what would be the new total change?
4. How many members would be left in the club if it started with 200 members before the reduction?
5. What would happen if the reduction in the club's size occurred over 6 weeks instead of 8?

**Tip**: In word problems, always identify the quantities involved and perform simple operations like multiplication or division to get the result.

Nicole owns 80 shares of a certain stock. Yesterday the value of each share went up by 8 dollars. What was the total change in value of her shares? A private club was reduced by 72 members in 8 weeks. Its size changed by the same number of members each week. What was the change in the club's size each week?

Solve a two-part word problem involving a stock value increase and a membership reduction. Learn how to calculate the total change in value for 80 shares with an $8 increase per share and determine the weekly reduction in membership over 8 weeks. Suitable for Grades 5-7.

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