SOLUTION: on a history exam mutilple choice questions are worth 3 points, true false are worth 2 points. 28 questions were answered correctly on the exam given a score of 77 points how many
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Question 316301: on a history exam mutilple choice questions are worth 3 points, true false are worth 2 points. 28 questions were answered correctly on the exam given a score of 77 points how many multiple choice were answered correctly and how many true false were answered correctly. i am not sure how to set this equation up to receive an accurate answer.. i really need help. i do not understand word problems. Found 2 solutions by Fombitz, JBarnum:Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
First step, name your variables.
Let M be the number of correct multiple choice problems and T be the number of correct true/false problems.
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"28 questions were answered correctly"
With our variables,
1.
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"mutilple choice questions are worth 3 points, true false are worth 2 points....score of 77 points"
2.
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You now have 2 equations with 2 unknowns, M and T.
Multiply eq. 1 by (-3) and add to eq. 2,
Then from eq. 1,
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Twenty one multiple questions and seven T/F questions were answered correctly.
You can put this solution on YOUR website! m= # of multiple choice questions
t= # of true false questions
this is set up just like money word problems
m is worth 3
t is worth 2 # of ?'s, this says # of multiple choice questions plus # of true false questions equals 28 questions point values, so the total points for m would be 3 times the # of questions and the total points for t would be 2 times the # of true false questions. those two point values added together make 77points.
so substitution or elimination method will work here
