Write an algebraic equation and use it to solve the problem
Three-fourths of a number is -21 . What is the numbe

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Write an algebraic equation and use it to solve the problem Three-fourths of a number is -21 . What is the numbe

UpStudy AI · Accepted Answer

Sure! Let's solve the problem step by step by setting up an algebraic equation.

**Problem Statement:**
Three-fourths of a number is -21. What is the number?

**Step 1: Define the Variable**
Let’s denote the unknown number as $$ x $$.

**Step 2: Translate the Problem into an Equation**
The phrase "three-fourths of a number is -21" can be written algebraically as:
$$
\frac{3}{4}x = -21
$$

**Step 3: Solve for $$ x $$**
To find the value of $$ x $$, follow these steps:

1. **Isolate $$ x $$:**
   $$
   \frac{3}{4}x = -21
   $$

2. **Multiply both sides by the reciprocal of $$\frac{3}{4}$$, which is $$\frac{4}{3}$$:**
   $$
   x = -21 \times \frac{4}{3}
   $$

3. **Calculate the right-hand side:**
   $$
   x = -21 \times \frac{4}{3} = -28
   $$

**Conclusion:**
The number is **-28**.
The number is -28.

Write an algebraic equation and use it to solve the problem
Three-fourths of a number is -21 . What is the numbe

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