Mark hid a $10 bill inside his favorite book. He forgot the pages where he hid it. If the sum of the pages where the bill is hidden is 177, on what pages will Mark find his money?
177/2 = 88.5
88 = 89 = 177
so he hid his bill between pages 88 and 89, assuming those two pages are facing each other.
To find the pages where Mark hid his $10 bill, we need to solve the following equation:
x + y = 177
Where x and y represent the page numbers where the bill is hidden.
Since the book's pages are typically numbered consecutively, we can assume that the first page of the book is 1 and the last page is the total number of pages in the book.
Here's a step-by-step solution to find the page numbers:
1. Start with two variables, x and y, representing the possible page numbers where the bill could be hidden.
2. Set up the equation: x + y = 177.
3. Begin by assuming x to be the smallest possible page number, i.e., 1.
x = 1
4. Substitute this value of x into the equation: 1 + y = 177.
5. Solve for y: y = 177 - 1 = 176.
So, one possible combination is x = 1 and y = 176.
6. Consider the possibility that x is the highest possible page number.
x = 176
7. Substitute this value of x into the equation: 176 + y = 177.
8. Solve for y: y = 177 - 176 = 1.
Another possible combination is x = 176 and y = 1.
9. Thus, Mark will find his money on pages 1 and 176.
Note: There may be other valid combinations, but these are the two possibilities given the information provided.
To solve this problem, we need to find two page numbers that add up to a total of 177. Let's call the first page number x and the second page number y.
We can set up the following equation based on the information given: x + y = 177.
To find the values of x and y, we can start by selecting a possible value for x and then solve for y. Since we don't know where Mark hid his money, we can randomly set a value for x and find the corresponding y.
Let's select x = 100. By substituting this value into the equation, we get 100 + y = 177.
To solve for y, we subtract 100 from both sides of the equation: y = 177 - 100 = 77.
Therefore, if Mark hid his money on page 100, he would find it on page 77.
However, it's important to note that there could be multiple combinations of page numbers that add up to 177. To find other possible solutions, you can try different values for x and solve for y.