A book shop was selling 3 books and 5 notebooks for Rs. 309 and 6 books and 2 notebooks for Rs. 282 during a closing down deal. What would be the cost of a book and a notebook? (
Question
A book shop was selling 3 books and 5 notebooks for Rs. 309 and 6 books and 2 notebooks for Rs. 282 during a closing down deal. What would be the cost of a book and a notebook? (
Solution
To solve this problem, we can use the method of simultaneous equations. Let's denote the cost of a book as 'b' and the cost of a notebook as 'n'.
From the problem, we have the following two equations:
- 3b + 5n = 309
- 6b + 2n = 282
We can simplify the second equation by dividing it by 2, which gives us:
3b + n = 141
Now we have two new equations:
- 3b + 5n = 309
- 3b + n = 141
Subtract the second equation from the first to eliminate 'b':
4n = 168
Divide by 4 to solve for 'n':
n = 42
Substitute n = 42 into the second equation:
3b + 42 = 141 3b = 99 b = 33
So, the cost of a book is Rs. 33 and the cost of a notebook is Rs. 42.
Similar Questions
Q. Imagine you go to a store and see two different deals on notebooks. The first deal offers notebooks at a price of ₹2.75 each, and you need to buy 5 notebooks. The second deal offers notebooks in bulk, with a pack of 4 notebooks costing ₹10.a) Calculate the total cost of buying 5 notebooks individually at ₹2.75 each.
Kamlesh bought 65 books for Rs.1050 from one shop and 50 books for Rs.1020 from another. What is the average price he paid per book?Options :Rs. 36.40Rs.18.20Rs. 24Rs.18
Select the correct answer112. A librarian purchased 60 story books for his library. But he found that he could get 4 extra books by spending Rs.336 more and then the overall average price per book would be reduced by Rupees 1. The previous average price of each books was?OptionsRs.83Rs.84Rs.68Rs.100
Ernest wants to buy 21 new books for his book collection. If the average price for a book is $20.45, about how much should he plan to spend? A. $400 B. $800 C. $500 D. $204.50
Rafael purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Rafael paid.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.