Multiple Choice: 2 Points Each
Short Response: 4 Points Each
Step-by-step explanation:
This is a system of equations problem.
The way I solved it was by, first, organizing two equations.
m(23)+s(10)=86 and m(28)+s(5)=76
m = multiple-choice question points
s = short response question points
The first equation is your scores. m(23)+s(10)=86
You had 23 multiple choice questions and 10 short response questions. Your score on the test was 86.
The second equation is your friend's score. m(28)+s(5)=76
They had 28 multiple choice questions and 5 short response questions. They scored a 76 on the test.
Solve m(23)+s(10)=86;m(28)+s(5)=76
23m+10s=86 for m
Add -10s to both sides.
23m+10s+−10s=86+−10s
23m=−10s+86
Divide both sides by 23.
m=
Substitute for m in 28m+5s=76.
28m+5s=76
28( )+5s=76
Simplify both sides of the equation.
Add to both sides.
s=4
Substitute 4 for s in m=
m=
m=
Simplify both sides of the equation.
m=2
m=2 and s=4
This is a lot of work. Can I please actually get brainliest?