Question

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) 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.​

Answer 1

Step-by-step explanation:

the linear equation is - 5x + 2y = 120

the answer of mohan is correct but the values are not divisible by 5 .

anil is correct.

the cost of a notebook - 20

the cost of a pen - 10