Question

The replacement set for an equation is {12, 18, 32, 48}. The equation is represented by the sentence, "34 of a number is 24." What is the solution set of the equation? Responses {12} open curly bracket 12 close curly bracket, {18} open curly bracket 18 close curly bracket {32} open curly bracket 32 close curly bracket {48}

Answer 1

Answer: 32

Step-by-step explanation: I took the test:)

Answer 2

The solution set of the equation is **{48}**.

Here's how we arrive at that solution:

1. **Translate the sentence into an equation:**

- "3/4 of a number" can be written as (3/4)x, where x represents the unknown number.

- "is" means equals.

- So, the equation becomes (3/4)x = 24.

2. **Test each value in the replacement set:**

- For x = 12: (3/4) * 12 = 9, which is not 24.

- For x = 18: (3/4) * 18 = 13.5, which is not 24.

- For x = 32: (3/4) * 32 = 24, which is 24! This is the solution.

- For x = 48: (3/4) * 48 = 36, which is not 24.

3. **Therefore, the only value from the replacement set that makes the equation true is 48.**

4. **The solution set, which contains all the values that make the equation true, is {48}.**