Can someone please explain
1 answer:
Start by defining variables (things you don't know). Let's make: t = number of true/false questions m = number of multiple choice questions Equation #1 total questions on the test (given to be 20) is then: t + m = 20 Equation #2 Multiply the number of questions by the points it's worth to get the total points 3t + 11m = 100 Now, you can use substitution to combine the two equations. t + m = 20 by subtracting m from both sides, equation 1# becomes.. t = 20 - m substitute t for 20 - m in the second equation. 3(20 - m) + 11m = 100 Solve for m. 3(20 - m) + 11m = 100 60 - 3m + 11m = 100 8m = 100 - 60 8m = 40 m = 5 There are 5 multiple choice questions on the test. Now use this to find t. t + m = 20 t + 5 = 20 t = 20 - 5 t = 15 there are 15 true/false questions on the test.
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