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?
You Your Friend
Mutiple Choice 23 28
Short response 10 5
The multiple-choice questions are worth points each.
The short response questions are worth points each.
+592 Let m = multiple choice, and s = short response
23m + 10s = 86
28m + 5s = 76
56m + 10s = 152
23m + 10s = 86
-----------------------
33m = 66
m = 2
28m + 5s = 76
28(2) + 5s = 76
56 + 5s = 76
5s = 20
s = 4
Which means each multiple choice answer is worth 2 points and short responses are worth 4 points :)
