1. **Problem:** Suppose you have two quantities, A and B, and their ratio is given as 3:4. If the total of A and B is 56, find the values of A and B. 2. **Formula and Rules:** The ratio 3:4 means for every 3 parts of A, there are 4 parts of B. 3. Let the common multiplier be $x$. Then: $$A = 3x$$ $$B = 4x$$ 4. Since the total is 56, we write: $$3x + 4x = 56$$ 5. Simplify the equation: $$7x = 56$$ 6. Solve for $x$: $$x = \frac{56}{7} = 8$$ 7. Find the values of A and B: $$A = 3 \times 8 = 24$$ $$B = 4 \times 8 = 32$$ **Answer:** The values are $A=24$ and $B=32$.