1.For the first grading period,Ziah's grades in Math and Science differed by,When added, grades sum up to 173.If her grade in Math is higher ,what is her grade in science?
2.A large pen houses of pigs and ducks. If there are 20 heads and 62 legs in the pen , how many of each kind of animals are there?
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Answer:
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The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.
(i) In which subject did the student score 105 marks? So, for 105 marks, what is the central angle?
(ii) How many more marks were obtained by the student in Mathematics than in Hindi?
(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
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Solution
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(i)
Total marks obtained =540
540
∘
represents 360
∘
∴ The central angle for 105 marks:
=
540
105
×360
∘
=70
∘
Hindi's central angle is 70
∘
∴ Student scored 105 marks in Hindi
(ii)
Difference between central angles of Maths and Hindi
⇒90
o
−70
o
⇒20
o
Marks for 20
∘
central angles =
360
20
×540
∘
=30
∘
∴30 more marks were obtained by student in maths than in hindi
(iii)
Sum of central angles of social science and maths
=65
∘
+90
∘
=155
∘
Sum of central angles of Science and Hindi =80
∘
+70
∘
=150 ∘
Step-by-step explanation:
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Answer:
The total number of pigs = 11.
The total number of ducks = 9.
Step-by-step explanation:
Given ,
No.of heads = 20.
No. of legs = 62.
Let the number of pigs be x .
and the number of ducks be y.
So, each of them have 1 head. Pigs have 4 legs and ducks have 2 legs.
Total heads = heads of pigs + heads of ducks.
x + y = 20 ----(1)
Total legs = 4*pigs + 2*ducks.
4*x + 2*y = 62 ----(2)
=> 4x + 2y = 62 -----(2).
Solving equations 1 and 2 we get,
x = 11 and y = 9.
The total number of pigs = 11.
The total number of ducks = 9.