Level 3 Problem Set
Advanced Ratio Practice
Tackle complex three-way continuous ratios, multi-party distributions, and algebraic ratio equations.
Problem 1 Advanced
Simplify the three-part ratio 36 : 54 : 90 to lowest terms.
Problem 2 Advanced
A company with 3 business partners divides $120,000 in profits in the ratio 3 : 4 : 5. How much does the partner with the largest share receive?
Problem 3 Advanced
If a : b = 2 : 3 and b : c = 4 : 5, find the combined continuous ratio a : b : c.
Problem 4 Advanced
A metal alloy consists of Copper, Zinc, and Nickel in the ratio 7 : 3 : 2 by weight. If 24 kg of Zinc is used, what is the total weight of the alloy?
Problem 5 Advanced
Simplify the complex ratio: (3/4) : (5/6) : (1/2).
Problem 6 Advanced
Two numbers are in the ratio 5 : 8. If 12 is added to both numbers, their new ratio becomes 3 : 4. Find the original smaller number.