Ms. Smith is giving a test worth 100 points and contains 40 questions. There are two-point and four-point questions on the test.
2 answers:
Let x be the number of questions worth 2 points and y the number of questions worth 4 points.
X•2+y•4=100 points
X+ y=40 questions
X=40-y substitute in the first equation
(40-y)•2+4y=100
80-2y+4y=100
2y=100-80=20 so y=20/2=10
So x=40-10=30
There are 30 questions worth 2 points and
10 questions worth 4 points.
Verify 30•2+10•4= 60+40=100 ✔️
x for 2 pointquestion y for 4 point question
x+y=40
2x+4y=100
x=40-y
80-2y+4y=100
2y=100-80
2y=20
y=10
x=40-10=30
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