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. sunjay has givem the clue that both the cost 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 was cost rs. 90 the two pens would cost rs. 30 and each pen could be for rs. 15 Anil felt that rs. 18 for 1 note book was to little. It should be atleast rs. 20 then the price of each pen would also rs. 10
Answers
Given : Sanjay bought 5 notebooks and 2 pens for Rs. 120.
both the costs are integers and divisible by 5
cost of a notebook is greater than that of a pen.
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
To Find : (i) Write a linear equation in two variables for this situation
(ii) Draw the graph for this situation.
.(iii) Check whether the answers of Mohan and Anil are correct
.(iv) Find the cost of a notebook and a pen.
Solution:
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
Mohan is not correct as price 18 of note book is not divisible by 5
Cost of a Note book = Rs 20
Cost of a Pen = Rs 10
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Answer:
1)b)5x+2y=120
Step-by-step explanation: