1 Mrs. Lia has 18 pounds of modeling clay. She divides the clay into - pound blocks. 2 If Mrs. Lia sets aside 6 of the blocks and gives the rest to the students in her art class 1 - pound blocks of clay does Mrs. Lia give to her class? 2 how many 1 pound blocks of clay Mrs. Lia gives to her class is The number of

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Description:**

Mrs. Lia has 18 pounds of modeling clay. She divides the clay into \( \frac{1}{2} \)-pound blocks.

**Question to Solve:**

If Mrs. Lia sets aside 6 of the blocks and gives the rest to the students in her art class, how many \( \frac{1}{2} \)-pound blocks of clay does Mrs. Lia give to her class?

**Mathematical Determination:**

The number of \( \frac{1}{2} \)-pound blocks of clay Mrs. Lia gives to her class is:

**[Answer Box]**

---

**Step-by-Step Solution:**

1. First, we determine the total number of \( \frac{1}{2} \)-pound blocks Mrs. Lia can create from 18 pounds of clay.
   
   \[
   \text{Total blocks} = \frac{18 \text{ pounds}}{\frac{1}{2} \text{ pounds/block}} = 18 \times 2 = 36 \text{ blocks}
   \]

2. Next, we account for the 6 blocks that Mrs. Lia sets aside.
   
   \[
   \text{Blocks given to class} = 36 \text{ total blocks} - 6 \text{ set aside} = 30 \text{ blocks}
   \]

3. Therefore, the number of \( \frac{1}{2} \)-pound blocks of clay Mrs. Lia gives to her class is 30.

**Final Answer:**

**The number of \( \frac{1}{2} \)-pound blocks of clay Mrs. Lia gives to her class is 30.**
Transcribed Image Text:**Problem Description:** Mrs. Lia has 18 pounds of modeling clay. She divides the clay into \( \frac{1}{2} \)-pound blocks. **Question to Solve:** If Mrs. Lia sets aside 6 of the blocks and gives the rest to the students in her art class, how many \( \frac{1}{2} \)-pound blocks of clay does Mrs. Lia give to her class? **Mathematical Determination:** The number of \( \frac{1}{2} \)-pound blocks of clay Mrs. Lia gives to her class is: **[Answer Box]** --- **Step-by-Step Solution:** 1. First, we determine the total number of \( \frac{1}{2} \)-pound blocks Mrs. Lia can create from 18 pounds of clay. \[ \text{Total blocks} = \frac{18 \text{ pounds}}{\frac{1}{2} \text{ pounds/block}} = 18 \times 2 = 36 \text{ blocks} \] 2. Next, we account for the 6 blocks that Mrs. Lia sets aside. \[ \text{Blocks given to class} = 36 \text{ total blocks} - 6 \text{ set aside} = 30 \text{ blocks} \] 3. Therefore, the number of \( \frac{1}{2} \)-pound blocks of clay Mrs. Lia gives to her class is 30. **Final Answer:** **The number of \( \frac{1}{2} \)-pound blocks of clay Mrs. Lia gives to her class is 30.**
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