Think of an alternative financial agangement that might be more fair

Question

It was señor Sanchez’s 75th Birthday. His theee children’s wanted to to throw him a big party to celebrate. The hall rental, mariachi, food, and decorations will cost a total of $4500. The brother who makes $20000 per month, suggested that the three children split the cost equally. One of the sisters who earns $6000 per month said that it would not be fair. She suggested the following: the brother pays $3150 she would pay $900 and their other sister who earns $3000 a month should pay $450. Think of an alternative financial agreement that might be “more fair”

Answer 1

The brother suggests the split the cost.

Under that scenario, the percentages of their incomes are

1500/20000 = 7.5% , 1500/6000 = 25% , 1500/3000 = 50%

The sister's suggestion gives the following percentages:

3150/20000 = 15.75% , 900/ 6000 = 15% , 450/3000 = 15%

That is more fair the than brother's suggestion as each are sacrificing 15% of their monthly income.

Their combined in come is 20000 + 6000 + 3000 = 29000

THe brother earns 20k/29k = 68.97...%

The middle sister earns 6k/29k = 20.69%

THe other sister earns 3k/29 = 10.34%

68.97% of $4500 = 3104

20.68% of $4500 = 930.70

10.34% of $4500 = 465.30

alternatively you can do 20k/29k = X/4500 to get the same proportion.