Can you solve this problem?

**1/8 of a stick is cut off. If If another stick that is 15 inches long is glued to the remaining part of the first stick, the first stick will be 1/2 longer than its original length. What is the original length of the first stick?**

**In this problem, you need to find the match between the fractional part and the amount in it ( if you do not know about these terms, please go to**** ****Word Problem: Detailed Explanations of Reasoning and Solving Strategies Volumes 11-A, 11-B and 12)**

**15 inches not only has covered 1/8 of the stick that is cut off but also makes the the stick 1/2 longer so we can say that 15 inches match the sum of the fractional parts: 1/8 and 1/2.**

**We divide the sum of the fractional parts: 1/8+1/2=5/8 into the amount that matches it: 15 inches to find the amount in 1, which is the length of the original stick: ( please go to the books ****Word Problem: Detailed Explanations of Reasoning and Solving Strategies Volumes 11-A, 11-B and 12 ****for more detailed explanation):**

**15÷5/8=24 inches**

**The original stick is 24 inches. **