1. **Problem 2:** A is greater than B by 10%, and B is greater than C by 20%. Given C = 20, find A. 2. **Step 1:** Express the relationships using formulas. - A is 10% greater than B means $A = B + 0.10B = 1.10B$ - B is 20% greater than C means $B = C + 0.20C = 1.20C$ 3. **Step 2:** Substitute $B$ in terms of $C$ into the equation for $A$: $$A = 1.10B = 1.10 \times 1.20C = 1.32C$$ 4. **Step 3:** Substitute $C = 20$: $$A = 1.32 \times 20 = 26.4$$ 5. **Answer for Problem 2:** $A = 26.4$ 6. **Problem 3:** A is 30% greater than B, and B is 30% greater than C. Find: (a) The percentage that A is greater than C. (b) The percentage that C is less than A. 7. **Step 1:** Write the relationships: - $A = 1.30B$ - $B = 1.30C$ 8. **Step 2:** Express $A$ in terms of $C$: $$A = 1.30B = 1.30 \times 1.30C = 1.69C$$ 9. **Step 3:** Calculate the percentage that A is greater than C: $$\text{Percentage increase} = \left(\frac{A - C}{C}\right) \times 100 = (1.69 - 1) \times 100 = 69\%$$ 10. **Step 4:** Calculate the percentage that C is less than A: This is the same as the percentage that A is greater than C, so: $$69\%$$ 11. **Answer for Problem 3:** (a) A is 69% greater than C. (b) C is 69% less than A.