in a mathematics paper there are 10 problems each correct answer carries 5 marks where as for each incorrect answer 2 marks are deducted from the marks scored Abdul answered all the questions but got only 29 marks find the number of correct answers given by Abdul
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Answer:
7
Step-by-step explanation:
given,
the number of problems in the mathematics paper are 10
each correct answer carries 5 marks
then,the total number of marks can be obtained are 50
for each incorrect answer 2 marks are deducted
from this we can conclude that number of marks=5×x-2×y
(x=no. of correct answers and y=no. of wrong answers)
abdul got 29 marks,he attempted all the questions
so,x+y=10 ....(1) and 5x-2y=29 ....(2)
by solving 1 and 2
5x+5y=50
5x-2y=29
7y=21
y=3
we know that x+y=10
x+3=10
x=10-3
x=7
∴the number of correct answers given by abdul are 7
hope it helps you
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