The problem is asking for the value of $x$, the change in share price on Friday, given that the total change over the week results in the share price being the same as it was at the beginning of the week.

Here's the information:

• Initial share price: $27 per share
• Change in share price each day:
  • Monday: $+6.25$
  • Tuesday: $-14.60$
  • Wednesday: $+10.20$
  • Thursday: $-3.55$
  • Friday: $x$ (Unknown)

The key piece of information is that the share price at the end of the week is the same as at the beginning of the week, which means the total change in price over the week is zero.

Step-by-Step Solution:

We can set up the equation for the total change in the share price:

$6.25 - 14.60 + 10.20 - 3.55 + x = 0$

Let's calculate the sum of the known changes first:

$6.25 - 14.60 + 10.20 - 3.55 = -1.70$

So, the equation becomes:

$-1.70 + x = 0$

Solving for $x$:

$x = 1.70$

Conclusion:

The value of $x$ is 1.70, meaning the share price increased by $1.70 on Friday.

Would you like more details or have any questions about the solution?

Here are 5 questions related to the problem:

1. What would happen if the total change in share price was positive by the end of the week?
2. How would you adjust the calculation if the initial price was different?
3. What would the equation look like if the total change wasn't zero but instead increased by $5?
4. How does a sequence of gains and losses affect the final stock price over time?
5. Can you create a similar problem involving percentage changes instead of dollar amounts?

Tip: In stock market problems, carefully tracking daily gains and losses can help you see how cumulative effects lead to the final outcome.