Question

Four people ( Geoff, Brooke, Jessica and Angela) paid money in the ratio of 6:7:4:3 respectively to buy a special lottery ticket. Lucky for them, they won the lottery of $ 250000. If they split the winnings up into same ratio, how much does each person receive?

Answer 1

$\LARGE{ \underline{\underline{ \sf{Required \: answer:}}}}$

Four persons contributed some money for a lottery ticket in order to won a lottery of $250000.

Their share was in the ratio 6:7:4:3. Let the share of these people be:

• Geoff = 6x
• Brooke = 7x
• Jessica = 4x
• Angela = 3x

They should divide the lottery they won in the same ratio they contributed for the lottery. Hence,

➛ 6x + 7x + 4x + 3x = $250000

➛ 20x = $250000

➛ x = $250000 / 20

➛ x = $12500

Hence,

The share of each of the four persons is:

• Geoff = 6($12500) = $$75000
• Brooke = 7($12500) = $$87500
• Jessica = 4($12500) = $$50000
• Angela = 3($12500) = $$37500

And we are done! :D

Answer 2

$\underline{\underline{\large{\sf{\pink{\bigstar{ \: Given}}}}}}$

• Four People = Geoff, Brooke, Jessica and Angela
• They paid money in ratio of 6:7:4:3 respectively to by lottery ticket.
• They won $ 250000 in lottery

$\underline{\underline{\large{\sf{\pink{\bigstar{ \: To \: find :}}}}}}$

• How much money does each person will recieve if they split the winning up into same ratio.

$\underline{\underline{\Large{\sf{\red{\bigstar{ \: Solution:}}}}}}$

Here the concept of the question is based on ratio and proportion. We have been given that four people contributed their money to buy lottery ticket and also they won it and got the lottery of $ 250000. We have to find how much money does each person contributed in buying the lottery ticket.

${\sf{\green{ \: Assume \: \: that :- }}}$

• Ration be in x form.

${\sf{\green{ \: We \: \: have :- }}}$

• Ratio = 6:7:4:3 = 6x, 7x, 4x, 3x
• Total money = $ 250000.

${\sf{\orange{ \: So, \: according \: to \: the \: Situation:-}}}$

${ \large{ \sf{ \implies6x + 7x + 4x + 3x = 250000}}}$

${ \large{ \sf{ \implies20x= 250000}}}$

$\\ { \large{ \sf{ \implies \: x= \frac{ 250000}{20}}}}$

${ \large{ \underline{ \boxed{ \implies { \sf{\: x = 12500}}}}}}$

${\sf{\orange{ \: So, \: each \: person \: will \: recieve \: money \: is :-}}}$

${\sf{\star{Geoff = 6x = 6 × 12500={ \large{ \blue{ \underline{ \boxed{75000}}}}}}}}$

${\sf{\star{Brooke = 7x = 7 × 12500={ \large{ \blue{ \underline{ \boxed{87500}}}}}}}}$

${\sf{\star{Jessica = 4x = 4 × 12500={ \large{ \blue{ \underline{ \boxed{50000}}}}}}}}$

${\sf{\star{Angela = 3x = 3 × 12500 ={ \large{ \blue{ \underline{ \boxed{37500}}}}}}}}$

So, Geoff, Brooke, Jessica, Angela contributed $75000, $87500, $50000, $ 37500 respectively.

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