Word Problem Parser Math Calculator
Our ai enhanced tool computes word problem parser math accurately. Enter your inputs for detailed analysis and optimization tips.
Reviewed by Daniel Agrici, Founder & Lead Developer
Formula
D=RT | Result=Base x P/100 | 1/T=1/T1+1/T2 | C1V1+C2V2=Cf(V1+V2)
Different word problem types use different formulas. Distance problems use D=RT. Percentage problems use Result = Base x Percent/100. Work rate problems use 1/T = 1/T1 + 1/T2. Mixture problems use conservation of substance: C1V1 + C2V2 = Cf(V1+V2). The solver identifies the type and applies the correct formula.
Worked Examples
Example 1: Distance-Rate-Time Problem
Problem:A train travels at 85 mph for 4.5 hours. How far does it travel?
Solution:Type: Distance problem\nKnown: Rate = 85 mph, Time = 4.5 hours\nUnknown: Distance\nFormula: D = R x T\nD = 85 x 4.5 = 382.5 miles
Result:The train travels 382.5 miles
Example 2: Work Rate Problem
Problem:Pipe A fills a pool in 6 hours. Pipe B fills it in 4 hours. How long with both pipes?
Solution:Rate A: 1/6 pool per hour\nRate B: 1/4 pool per hour\nCombined: 1/6 + 1/4 = 2/12 + 3/12 = 5/12 pool per hour\nTime = 1 / (5/12) = 12/5 = 2.4 hours
Result:Both pipes together fill the pool in 2.4 hours (2 hours 24 minutes)
Frequently Asked Questions
How do I identify what type of word problem I have?
Look for keyword clues in the problem text. Distance problems mention speed, rate, mph, travel, or time. Percentage problems use words like percent, discount, markup, tax, or tip. Ratio problems reference proportions, ratios, or comparisons. Work rate problems describe multiple workers or machines completing a task together. Mixture problems involve combining solutions, concentrations, or blending. Once you identify the type, you can select the appropriate formula template and plug in the known values to solve for the unknown.
What are common percentage word problem patterns?
There are three fundamental percentage patterns: (1) Finding a percentage of a number: 'What is 25% of 80?' uses Result = Base x Percent/100. (2) Finding the percentage: '15 is what percent of 60?' uses Percent = (Part/Whole) x 100. (3) Finding the base: '30 is 40% of what?' uses Base = Part / (Percent/100). Real-world applications include sales tax, discounts, tips, interest, population growth, and test scores. Multi-step problems might chain these: 'A $50 item with 20% off, then 8% tax' requires sequential calculation.
References
Reviewed by Daniel Agrici, Founder & Lead Developer · Editorial policy