# gmat word problems

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 Author: jeffhn90 ID: 208490 Filename: gmat word problems Updated: 2013-03-20 03:15:50 Tags: word problems Folders: Description: word problems on the gmat Show Answers:

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1. four steps
• 1. id what value the question is asking for (desired value)
• 2. id unknown values and label them with variables
• 3. id relationships and translate them into equations
• 4. use the equation to solve for the desired value
2. additive relationships - subj. algebraic translation
• adding terms with the same units does not change the units
• the units of every term are the same
3. multiplicative relationships - subj. algebraic translation
• treat units like numerators and denominators
• units that are multiplied together DO change
4. common relationships - subj. algebraic translation
• total cost (\$) = unit price (\$/unit) x quantity purchased (units)
• profit (\$) = revenue (\$) - cost (\$)
• total earnings (\$) = wage rate (\$/hour) x hours worked (hours)
• miles = miles per hour x hours
• miles = miles per gallons x gallons
5. conversion facor
• a fraction whose numerator and denominator have different units but the same value
• e.g.
• ex. a certain medicine requires 4 doses per day.  if each dose is 150 mg,how many mg of medicine will a person have taken after the end of the third day, if the medicine is used as directed?
• 3 days x x=1,800 mg
6. Integer Constraints
ex. If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates? (54, 55, 56, 57, 58)
If Kelly received 1/3 more votes than Mike, she received 4/3 the number of votes.  So what times 4/3 will equal an integer? only multiple of 3 will cancel out the 3 in the denominator. the number of votes Mike received is a multiple of 3, then the number of votes Kelly received must be a multiple of 4.  Taken together, the total number of votes cast must then be a multiple of 7.  (answer is 56)
7. Hidden Constraint
DS ex. A store sells erasers for \$0.23 each and pencils for \$0.11 each.  How many erasers and pencils did Jessica buy from the store?
(1) Jessica bought 5 erasers
(2) Jessica spent \$1.70 on erasers and pencils
• Statement 1 by itself is not sufficient
• On the surface, statement 2 should not be enough.
• If J bought 1 eraser, 170 - 23 = 147 cents on pencils (but 147 isn't divisible by 11)
• ... If J bought 5 erasers and 5 pencils: 5(23) + 5(11) = 170
• thus, statement 2 is sufficient by itself

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