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Application Problems

MTH005 Ch 3 Standard Format of Application Problems

Type of Application ProblemGeneral Form of the Equation
Things of Value (# of items times cost or value per item) + (# of items times cost of value per item) = Total value
Mixtures (Quantity1 times Unit Cost1) + (Quantity2 times Unit Cost2) = Total Quantity Times Mixture's Unit Cost
Dual Investments (Principal1 times Interest Rate1) + (Principal2 times Interest Rate2) = Total Interest
Liquid Solutions (Amount of Solution1 times %1) + (Amount Solution2 times %2) = Total Amount of mixture times mixture's %
Distance, rate, time (Rate1 times Time1) + (Rate2 times Time2) = Total distance
Piece Lengths Length of Piece1 + Length of Piece2 = Original Total Length
Basic Number Problems 1st sentence or phrase describes the #s. 2nd sentence or phrase is translated into the equation using the representations determined by the 1st sentence or phrase
Percents in Business Percent times Base = Resulting Amount; Identify P, B, & A in the problem; set up an equation; & solve
3 Consecutive Integers x; x + 1; x + 2; Example: If x = 3 then x + 1 = 4 and x + 2 = 5. Three Consecutive Integers 3, 4 & 5
3 Consecutive Even Integers x; x + 2; x + 4; Example: If x = 4 then x + 2 = 6 and x + 4 = 8. Three Consecutive Even Integers 4, 6 & 8
3 Consecutive Odd Integers x; x + 2; x + 4; Example: If x = 7 then x + 2 = 9 and x + 4 = 11. Three Consecutive Odd Integers 7, 9 & 11
1st Integer is Even; Next 2 Consecutive Odd Integers x + 1; x, + 3; Example: If x = 4, then x + 1 = 5 and x + 3 = 7. Four is an even integer, and 5 & 7 are the next 2 Consecutive Odd Integers
1st Integer is Odd; Next 2 Consecutive Even Integers x + 1; s + 3; Example: If x = 3 then x + 1 = 4 and x + 3 = 6. Three is an Odd Integer, and the next 2 Consecutive Even Integers are 4 & 6
Created by: powens