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Your next math test is worth 111 points and contains 32 problems. Each problem is worth either 4 points or 3 points. How many 3 point problems are on the test? A) 14 B) 15 C) 17 D) 18
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17
let number of 3 point problems be x and number of 4 point be y you can form two equations in x and y to be solved
Let A be the number of 4 point problems and B be the number of 3 point problems. 1.A%2BB=32 2.4A%2B3B=111 Use eq. 1 to solve for A. A%2BB=32 A=32-B
Or his way
x + y = 32 and the other equation will take into account the points values can you set this equation up?
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