Algebra Word Problem Solver

Cost Word Problem: Solving for Quantities

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Algebra Applications: Using Systems of Linear Equations to solve Units Price word problems.

See Also: Solve Tickets Word Problem
See Also: Find Quantities Word Problem

**What You Enter**
One day, Mrs. Jones paid $18.70 for 4 kilograms of brown rice and 3 kilograms of white rice. On another day, she paid $13.30 for 2 kilograms of white rice and 3 kilograms of brown rice. If the prices were the same on each day, find the price per kilogram for each type of rice.

**What You Get**
Let B = Cost of each KILOGRAMS of BROWN RICE in dollars Let W = Cost of each KILOGRAMS of WHITE RICE in dollars 4B + 3W = 18.7 3B + 2W = 13.3 B = (18.7 - 3W)/4 3(18.7 - 3W)/4 + 2W = 13.3 3(18.7 - 3W) + 4(2)W = 4(13.3) 56.1 - 9W + 8W = 53.2 -1W = -2.9 W = $ 2.9 B = (18.7 -3(2.9))/4 B = $ 2.5

What You Get

Let B = Cost of each KILOGRAMS of BROWN RICE in dollars Let W = Cost of each KILOGRAMS of WHITE RICE in dollars 4B + 3W = 18.7 3B + 2W = 13.3 B = (18.7 - 3W)/4 3(18.7 - 3W)/4 + 2W = 13.3 3(18.7 - 3W) + 4(2)W = 4(13.3) 56.1 - 9W + 8W = 53.2 -1W = -2.9 W = $ 2.9 B = (18.7 -3(2.9))/4 B = $ 2.5

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