Algebra Mixture

Algebra Mixture We know Algebra mixture problems are problems which find a final solution by adding or subtracting of two or more results of the same problem. We have some steps to derive the solution. Step 1: from the problem, we can write an expression for some variables. Step 2: If we have two equations, from that we need find the solution, by adding or by subtracting of equations. Example 1:If the angles A and B are complementary angles. The angle A is 21 more than twice the other angles B. Find the angles A and B. Solution: The given angles are A and B. We know complementary means 90 From this we can write, A + B = 90 (1) From the problem we can write A = 2B + 21 Means A 2B = 21.. (2) From (1) and (2), we can write (1) (2) A + B = 90 A 2B = 21 - + - 3 B = 69 Divide this by 3, then we have B = 23. From problem (1), A + B = 90 A + 23 = 90 A = 67 The final answer is A = 67 and B = 23. Example 2: Robert and Peter started a business. In that business Robert invested $5000 and Peter invested $3000.Find the ratio of their shares. Solution: Roberts share amount = $5000 Peters share amount = $3000 The ratio of their shares = 5000: 3000 = 5: 3. Hence the ratio of their shares is 5:3