Question

One night Puvi spent 1/3 of his money on dinner and then 1/4 of the remaining money on dessert. He then had just enough left so that he could buy two £30 tickets for the hockey game. How much money did Puvi have at the start of the night?

Answer 1

Explanation:

Cost of two tickets = 2 * 30 = £60

Let the amount with Puvi = £x

Money spent on dinner = (1/3)*x

`= (1)/(3)x`

`Remaining \ money =x - (1)/(3)x =(3)/(3)x-(1)/(3)x=(2)/(3)x`

`Money \ spent \ on \ dessert = (1)/(4) *(2)/(3)x =(1)/(6)x\\\\\\`

Total money - money spent on dinner - money spent on dessert = 60

`x -(1)/(3)x -(1)/(6)x=60\\\\\\(6)/(6)x-(1*2)/(3*2)-(1)/(6)x =60\\\\\\(6)/(6)x-(2)/(6)x-(1)/(6)x=60\\\\\\(6-2-1)/(12)x=60\\\\\\(3)/(12)x=60\\\\\\x=60*(12)/(3)=60*4=240`

Money that Puvi had at the start of the night = £ 240