Question

The table shows the number of correct answers on a practice standardized test. You score 86 points on the test, and your friend scores 76 points. How many points is each type of question worth?

Answer 1

2, 4

Explanation:

m = multiple choice, s = short response

23m + 10s = 86, 28m + 5s = 76

Multiply the 2nd equation x 2 to make a variable the same amount

28m + 5s = 76, so 56m + 10s = 152

Now subtract the first equation

56m + 10s = 152

23m + 10s = 86

33m = 66

m = 2

If m = 2, and 23m + 10s = 86

23(2) + 10s = 86

46 + 10s = 86

10s = 40

s = 4