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# I need help

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David, Evan and Filip go out and buy a computer game. They agree to share the cost equally. Filip only has \$4.50 with him. David and Evan agree to pay the rest of Filip' share and he will pay them back. David pays in total 50% more than Evan pays in total. David pays \$8.40 more than Evan. How much money does Filip need to pay back to David and Evan?

Apr 23, 2022

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David, Evan and Filip go out and buy a computer game. They agree to share the cost equally. Filip only has \$4.50 with him. David and Evan agree to pay the rest of Filip' share and he will pay them back. David pays in total 50% more than Evan pays in total. David pays \$8.40 more than Evan. How much money does Filip need to pay back to David and Evan?

This one is a little sticky  !!!!!

David pays 8.40  more than Evan....so....

D =  E +  8.40       (1)

And    David pays  50%  more than Evan

D = (1.5)E           (2)

Sub  (2)  into (1)  and we have that

(1.5)E  = E  + 8.40

(1.5  -1) E  = 8.40

.5E  = 8.40

E = 8.40  / .5   =   16.80      =  what  Evan paid

And  David paid  16.80 + 8.40  =  25.20

So.....the total cost paid  =

What  Evan paid + What David paid  + What Filip paid   =

16.80    +       25.20    +  4.50  =    46.50

Each should pay    46.50  / 3  =  15.50

So     Filip  owes  Evan  (16.80  - 15.50)  =  1.30

And   Filip owes  David  ( 25.20 - 15.50)  =  9.70

Check

Filip     has   4.50  + 1.30 + 9.70   = 15.50   which is his  correct share

Apr 23, 2022