Question

after Venu had spent 1/3
of his money at the bookshop and some of it at the canteen he was left with 5/12 money
a) what fraction of his money was spent at the canteen
b) how much more money was spent at the bookshop than at the canteen






PLEASE TELL AN EASY FORMULA​

Answer 1

Answer:

A simple formula:

total amount= amount spent + remaining amount

Step-by-step explanation:

now here let the total amount with venu be x

money he spent at book shop = 1/3 of x

let the money spent by him in canteen be y

remaining money= 5/12x

applying the above formula:

total amount= amount spent in canteen +amount spent in bookshop + remaining amount

x= y+1/3x+5/12x

x-1/3x-5/2x=y

x-1/3x-y=5/12x

by taking lcm

3x-x-3y/3=5/12x

cross multiplying

3x-x-3y=5/12x multiplied by 3

3x-x-3y=5/4x

2x-3y = 5/4x

cross multiplying:

8x-12y=5x

bringing like terms on one side

8x-5x=12y

3x=12y

write x in terms of y

y=3/12x

y=1/4x

here y is the amount used in canteen

so amount used in canteen is 1/4

(b) whenever they ask about how much more than something always remember to subtract

so here= amount used in bookshop - amount used in canteen

            = 1/3-1/4

            =  4-3/12

            = 1/12

so 1/12 of the money was spent more in bookshop than canteen.

hope it helps u mate