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

Use a systems of equations

x+y=32
4x+3y=111

x+y=32 equals x=-y+32 substitute that into the other equation

4(-y+32)+3y=111
-4y+128+3y=111
-y+128=111
-y=-17
y=17

since y was used as “3y” that is the variable used for the 3 point questions, so there are 17 3 point questions

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