Question

Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were ruler.The cost of the stationery is ,Pencil: $1.20 ,Eraser :$1 ,Ruler: $0.50 She spent a total of $169.50 on all the stationery. How much more did she spend on erasers than rulers.

Answer 1

She spend
`(7)/(24)` more on erasers than rulers.

Explanation:

We are given that Isabelle bought some stationery.

Fraction of pencil =
`(1)/(3)`

Remaining stationary =
`1-(1)/(3)=(2)/(3)`

5/8 of the remainder were erasers

So, part of eraser in stationary=
`(5)/(8) * (2)/(3)=(5)/(12)`

Remaining stationary(rulers)=
`(2)/(3)-(5)/(12)=(1)/(4)`

Cost of ruler = $0.50

Cost of
`(1)/(4)`rulers =
`0.50 * (1)/(4)=(1)/(8)`

Cost of eraser=$1

Cost of
`(5)/(12)` eraser=
`(5)/(12)`

Difference in cost of eraser and rulers =
`(5)/(12)-(1)/(8)=(7)/(24)`

Hence She spend
`(7)/(24)` more on erasers than rulers.