SOLUTION: A short test has 42 questions – some worth 2 marks, some 3 marks. It is out of 100 marks. Find how many questions of each type there are.
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Question 721087: A short test has 42 questions – some worth 2 marks, some 3 marks. It is out of 100 marks. Find how many questions of each type there are. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A short test has 42 questions – some worth 2 marks, some 3 marks. It is out of 100 marks. Find how many questions of each type there are.
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Questions Eq::: x + y = 42
Marks Eq:::::::2x +3y = 100
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Modify:
2x + 2y = 84
2x + 3y = 100
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Subtract and solve for "y":
y = 16 (# of 3 mark questions)
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Solve for "x" using x + y = 42
x + 16 = 42
x = 26 (# of 2 mark questions)
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Cheers,
Stan H.
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