Math Problem Statement

Solve d/4 + 6 = 15. What is d?

Solution

The equation given is:

d4+6=15\frac{d}{4} + 6 = 15

Steps to solve:

  1. Subtract 6 from both sides to isolate the term with dd: d4+66=156\frac{d}{4} + 6 - 6 = 15 - 6 Simplifying: d4=9\frac{d}{4} = 9

  2. Multiply both sides by 4 to solve for dd: d=9×4d = 9 \times 4 So, d=36d = 36.

Final Answer:

d=36d = 36

Would you like more details or further explanation?

Here are 5 related questions to expand your understanding:

  1. How would you solve d3+5=20\frac{d}{3} + 5 = 20?
  2. What happens if there is a negative sign before the fraction, such as d4+6=15-\frac{d}{4} + 6 = 15?
  3. Can you generalize the solution method for dx+a=b\frac{d}{x} + a = b?
  4. What would change if the equation had multiplication instead of addition, like d4×6=15\frac{d}{4} \times 6 = 15?
  5. How would you check your solution by substituting d=36d = 36 back into the original equation?

Tip:

When solving equations, always perform the same operation on both sides to keep the equation balanced.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Basic Arithmetic Operations

Formulas

Equation Solving: d/4 + 6 = 15

Theorems

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Suitable Grade Level

Grades 6-8