Sanjay bought 5 notebooks and 2 pens for Rs. 120. He told to guess the cost of each notebook
and pen to his friends Mohan and Anil. Sanjay has given the clue that both the costs are
integers and divisible by 5 such that the cost of a notebook is greater than that of a pen.
Now, Mohan and Anil tried to guess.
Mohan said that price of each notebook could be Rs. 18. Then five notebooks would cost
Rs.90, the two pens would cost Rs.30 and each pen could be for Rs. 15.
Anil felt that Rs. 18 for one notebook was too little. It should be at least Rs. 20. Then the
price of each pen would also be Rs.10.
Based on the above situation, answer the following questions:
(i)Which among the following is a linear equation in two variables?
(a) x3
+ x – 1 = 0 (b) 3x2
+ y – 2 = 0 ( c ) x2
+ y2
= 3 (d ) x – 2y = 5
(ii)What is the linear equation in two variables for this situation
(a)5x +2y = 120 (b) 2x + 5y = 120 (c ) x + y = 50 (d) x – y = 120
(iii) If the above situation is represented graphically , The graph will be
(a) A curve (b) A straight line
(c) A straight line passing through the Origin (d) A straight line parallel to y axis
(iv)Whose guess on the number of note books and pens is correct?
(a) Anil (b) Mohan ( c ) None (d ) both Anil and Mohan
(v)If Sanjay purchased 8 notebooks and 4 pens, how much money he has to pay to the
shopkeeper?
(a) Rs. 150 (b) Rs. 200 (c) Rs. 250 (d) Rs. 300
Answers
Answered by
2
Answer:
ᗩ ᖇՏ 200
ᗷ) 800
IՏ YOᑌT ᗩᑎՏᗯᗴᖇ
Answered by
1
Answer:
Answer of Anil are Correct
Step-by-step explanation:
both the costs are integers and divisible by 5
Cost of Note book = 5X
Cost of Pen = 5Y
and X > Y > 0
Sanjay bought 5 notebooks and 2 pens for Rs. 120.
=> 5 *5X + 2(5Y) = 120
=> 5X + 2Y = 24
5X + 2Y = 24
=> 5X = 24 - 2Y
=> 5X = 2(12 - Y)
X must be multiple of 2 and 12 - Y must be multiple of 5
=> Y can be 2 or 7
Y = 2 => X = 4
Y = 7 => X = 2 not possible as X > Y
=> Y = 2 => X = 4 is only possible solution
Cost of Note book = 5*4 = 20
Cost of Pen = 5Y = 5 * 2 = 10
answers of Anil are correct
Similar questions