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Talja [164]
3 years ago
14

A 110 point exam is made up of 50 questions. some questions are worth 2 points others are worth 4 points how many of each type o

f question are on the test?
Its a system of equations answer.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0
X - the number of the questions worth 2 points
y - the number of the questions worth 4 points

x+y=50 \\
2x+4y=110 \\ \\ 
\hbox{from the 1st equation:} \\
y=50-x \\ \\
\hbox{substitute 50-x for y in the 2nd equation:} \\
2x+4(50-x)=110 \\
2x+200-4x=110 \\
-2x=-90 \\
x=45 \\ \\
y=50-45=5

The answer:
There are 45 questions worth 2 points and 5 questions worth 4 points.
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