Answer:
k = 24
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Explanation:
Step 1: Define
7/8 = 21/k
Step 2: Solve for k
- Cross-multiply: 7k = 168
- Divide both sides by 7: k = 24
Step 3: Check
Plug in k to verify it's a solution.
- Substitute: 7/8 = 21/24
- Simplify: 7/8 = 7/8
Here we see that 7/8 does indeed equal 7/8. ∴ k = 24 is a solution.