aliopqwas
18.03.2021 •
Mathematics
Your teacher is giving a 44-quesion test worth 100 points. Some questions are worth 2 points and the remaining questions are worth 4 points. How many of each type of question are on the test?
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Ответ:
umber of 2 mark questions
=
30
Number of 4 mark questions
=
10
Explanation:
Let x be the number of 2 mark questions
Let y be the number of 4 mark questions
x
+
y
=
44
(1)
2
x
+
4
y
=
100
(2)
Solve equation (1) for y
y
=
44
−
x
Substitute
y
=
44
−
x
in equation (2)
2
x
+
4
(
44
−
x
)
=
100
2
x
+
160
−
4
x
=
100
2
x
−
4
x
=
100
−
160
−
2
x
=
−
60
x
=
−
60
−
2
=
30
Substitute
x
=
30
in equation (1)
30
+
y
=
40
y
=
40
−
30
=
10
Number of 2 mark questions
=
30
Number of 4 mark questions
=
10
Ответ:
the second one
Step-by-step explanation: