Shareeka S.

asked • 08/27/14# End total same as starting total

Malcolm and Maddie are studying for an exam. Maddie posed 24 review questions. As motivation, Malcolm will receive 7 pennies for every correct answer and will lose 5 pennies for every incorrect answer. At the end of the session, Malcolm's total was the same as his starting total. How many questions did Malcolm answer correctly?

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## 1 Expert Answer

Stan Z. answered • 08/27/14

Tutor

5
(9)
MATH TUTORING FROM MIDDLE SCHOOL THROUGH COLLEGE

Hi Shareeka:

Like all "word" problems, you must try to put the information into expressions or equations prior to seeking a solution. In this problem you're having to figure out the number of correct answers to a total of 24 questions.

This means that the total of the of wrong answers PLUS right answers must be 24. Simply put r + w = 24 where r stands for right answers and w stands for wrong answers.

Now if Malcolm ends up with the same amount of money that he started with after ADDING 7 pennies for each right answer and SUBTRACTING 5 pennies for each wrong answer does this mean that 7*r LESS 5*w is zero? If it does then even if Malcolm began with $25 he will have $25 afterwards! So it really doesn't matter just how much he started with does it?

So now you have two equations and two unknowns and you should be able to solve for each.

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Dattaprabhakar G.

08/27/14