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Five friends went to a restaurant and agreed to share the bill equally. however, one person forgot his wallet so the other four friends' portions of the bill went up by $4 each. how many dollars was the total bill?

Respuesta :

If each of them paid an extra of $4.
4 person paid $4 x 4 = $16 extra

The $16 is the share of the 5th person, which is also each person's share.

$16 x 5 = $80.

Answer: The total bill is $80.
penfila11Pen
Hey there :)

1 ) Five friends went to a restaurant with an agreement to share the bill
2 ) One forgets so four friends part of bill rose by $4 each

Let p represent the total amount of bill

Translating (1) into mathematics:
[tex] \frac{p}{5} [/tex]      ( Original agreement )

Translating (2) into mathematics:
[tex] \frac{p}{4} [/tex]      ( Share among four )

Portions of bill increases by
4

Therefore, 
[tex] \frac{p}{4} - \frac{p}{5} = 4[/tex]

Change to same denominators 
[tex] \frac{p(5)}{4(5)}- \frac{p(4)}{5(4)} =4 [/tex]
[tex] \frac{5p}{20} \frac{4p}{20} = 4[/tex]
p = $80

The total bill was $80

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