Question

Bertie has just had a big win at the lotterey. He spends 4/5 of his money on a large house. He spends 3/4 of his remaining money on a luxury yacht. He spends 2/3 of his remaining money on a trip to space. He gives the remaining $50,000 to charity. How much money did he win?

Answer 1

Answer:

Total money = $30,00,000

Step-by-step explanation:

Given:

4/5 money spend on house

3/4 remaining money spend on luxury yacht

2/3 remaining money spend on trip to space

Remaining $50,000 to charity

Find:

Total money

Computation:

Assume Total money = x

So,

Spend on house = [4x/5]

Spend on luxury yacht = [x-4x/5]3/4 = 3x/20

Spend on trip to space = [x/5-3x/20]2/3 = x/30

Remaining money = x/20 - x/30 = x/60 = $50,000

So,

x/60 = $50,000

x = $300,000

Total money = $30,00,000

Answer 2

The money did he win is $30,00,000

Calculation of money:

Since He spends 4/5 of his money on a large house. He spends 3/4 of his remaining money on a luxury yacht. He spends 2/3 of his remaining money on a trip to space. He gives the remaining $50,000 to charity.

So,

Here we Assume Total money = x

Now

Spend on house =$[4x\div 5]$

Spend on luxury yacht = $[x-4x\div 5]3\div 4 = 3x\div 20$

Spend on trip to space =$[x\div 5-3x\div 20]2\div 3 = x\div 30$

Remaining money $= x\div 20 - x\div 30 = x\div 60$ = $50,000

So,

$x\div 60 = 50,000$

x = $30,00,000

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