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two friends go to a retaurant that offers BUY ONE DINNER, GET ONE FREE DINNER OF EQUAL OR LESSER VALUE. One friend chooses a $16 dinner, and the other chooses a $10 dunner. Excluding tax and tip, how should they share the check for $16 fairly?

2006-08-29 13:48:03 · 16 answers · asked by usher ;] f 1 in Science & Mathematics Mathematics

16 answers

The one who eats the $10 dinner pays 10/26 of $16 and the other pays 16/26 of $16.

2006-08-29 13:54:20 · answer #1 · answered by zee_prime 6 · 0 0

"Buy one, get one free" means the $10 dinner is free. So, the total for both meals is $16. To split it fairly between two people, divide $16 by 2 people. That's $8 per person.

OR

Add up what the bill should have cost: $10 + $16 = $26. Then, 10/26 would be 38% and 16/26 would be 62%. So, 38% of the real total cost is $6.08 (for the person who bought the $10 dinner) and 62% is $9.92 (for the person who bought the $16 dinner).

2006-08-29 21:06:15 · answer #2 · answered by fibr 2 · 0 0

This isn't really a math question so much as a judgement call. If they both pay $8, then the person with the $16 meal got his for half price while the other person paid 80% of the cost of his meal. If that seems fair, then so be it.

If the $16 person pays $11 and the $10 person pays $5, then they both save $5.

Your call.

2006-08-29 20:57:15 · answer #3 · answered by Anonymous · 0 0

If they are good friends - $8 each

Otherwise do what zprime said 10/26 of $16 and 16/26 of $16

2006-08-29 20:58:59 · answer #4 · answered by jdomanico 4 · 0 0

You could say that one pays 10/26 of the bill and the other pays 16/26 of it. Multiply $16 by these fractions to see what each pays.

$9.85 and$6.15

2006-08-29 20:55:46 · answer #5 · answered by hayharbr 7 · 0 0

$16 / 2 = $8 each.

2006-08-29 21:57:52 · answer #6 · answered by Anonymous · 0 0

16/26 times 16 = 9.85

10/26 times 16 = 6.15

2006-08-29 22:20:21 · answer #7 · answered by MollyMAM 6 · 0 0

the friend who ate the $16 will pay $10 and the friend who ate the $10 dinner pay $6.

2006-08-29 20:56:01 · answer #8 · answered by miss_moet 2 · 0 0

Let us call the value of there dinners V
V1=16
V2=10
ratio v1:v2= 1.6:1
total cost =16
total v=26
16/26=0.6154
16x0.6154=$9.85
10x0.6154=6.15

2006-08-29 20:57:53 · answer #9 · answered by Sleeping Troll 5 · 0 0

The person should have ordered a $ 16.00 dollar dinner since it was free.

2006-08-29 21:34:19 · answer #10 · answered by ENDURAMAN 4 · 0 0

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