Question

The cost of a notebook is Rs. 10ab. If Babu has Rs. (5a²b + 20ab² + 40ab). Then how many notebooks can he buy?

Answer 1

For Rs. 10ab the number of notebooks can buy = 1.

For Rs. (5a²b + 20ab² + 40ab) the number of notebooks can buy = `"Total amount"/"cost of 1 notebook"`

= `(5"a"^2"b" + 20"ab"^2 + 40"ab")/(10"ab")`

= `(5"a"^2"b")/(10"ab") + (20"ab"^2)/(10"ab") + (40"ab")/(10"ab")`

= `1/2 "a"^(2-1) "b"^(1-1) + 2"a"^(1-1) "b"^(2-1) + 4"a"^(1-1) "b"^(1-1)`

= `1/2 "a"^1 "b"^0 + 2"a"^0"b"^1 + 4"a"^0"b"^0`

Number of notebook he can buy = `1/2"a" + 2"b" + 4`