A high school bookstore collects 50.00 Php for an annual affiliation. Availing membership, 
the member can borrow the first book free of charge, and any book after will cost 10.00 Php. 
How many books did a student borrow after a year if he paid 200.00 Php?

We are given that a student pays an initial **50.00 Php** for an annual affiliation, which includes the first book for free. After the first book, each additional book costs **10.00 Php**. The total amount paid after a year is **200.00 Php**.

Let's break down the steps:

1. The total amount the student paid is **200.00 Php**.
2. The annual affiliation fee is **50.00 Php**, so the remaining amount spent on borrowing books is:
   \[
   200.00 \, \text{Php} - 50.00 \, \text{Php} = 150.00 \, \text{Php}
   \]
3. Since the first book is free, the student only pays for the additional books. Each additional book costs **10.00 Php**.
4. To find the number of additional books borrowed, divide the remaining amount by the cost per book:
   \[
   \frac{150.00 \, \text{Php}}{10.00 \, \text{Php}} = 15 \, \text{books}
   \]
5. Including the first free book, the total number of books borrowed is:
   \[
   15 + 1 = 16 \, \text{books}
   \]

Thus, the student borrowed **16 books** after a year.

Would you like more details or have any questions? 

Here are 5 related questions to expand your understanding:
1. How would the result change if the affiliation fee increased to 60.00 Php?
2. What if each book after the first one costs 15.00 Php instead of 10.00 Php?
3. How much would a student pay if they borrowed 20 books in total?
4. If a student paid 300.00 Php, how many books did they borrow?
5. How would the formula change if two books were free instead of just one?

**Tip:** Always start by isolating the fixed costs, then deal with the variable costs to simplify calculations.

A high school bookstore collects 50.00 Php for an annual affiliation. Availing membership, the member can borrow the first book free of charge, and any book after will cost 10.00 Php. How many books did a student borrow after a year if he paid 200.00 Php?

Learn how to calculate the total number of books a student borrowed in a year based on a 50.00 Php affiliation fee and 10.00 Php per additional book, given that the student paid 200.00 Php. This problem involves key algebraic concepts suitable for Grades 6-8.

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