SOLUTION: A math test has 25 problems.Some problems are worth 2 points and some are worth 3 points and the total points for the test is 66. how many 2 point and three point problems are ther

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Question 407620: A math test has 25 problems.Some problems are worth 2 points and some are worth 3 points and the total points for the test is 66. how many 2 point and three point problems are there?
Answer by stanbon(75887) About Me  (Show Source):
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A math test has 25 problems.Some problems are worth 2 points and some are worth 3 points and the total points for the test is 66. how many 2 point and three point problems are there?
A math test has 25 problems.Some problems are worth 2 points and some are worth 3 points and the total points for the test is 66. how many 2 point and three point problems are there?
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Equations:
t + r = 25
2t+3r = 66
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Multiply thru 1st by 2 to get:
2t + 2r = 2*25
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Subtract that equation from the one above and
solve for "r":
r = 66-2*25 = 10 (# of three point problems)
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Solve for "t":
t + r = 25
t + 10 = 25
t = 15 (# of 2 point problems)
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Cheers,
Stan H.