Question

Amina, Lloyd and Katelyn decide to buy lottery tickets, agreeing to share any winnings in a ratio of 3/7 : 1 : 2/5 which is in the same ratio as they spent on tickets. If they end up winning $10,210, calculate how much each should receive from the winnings.A) Amina’s $_____B) Lloyd’s $_____C) Katlyn’s $_____

Answer 1

Given the ratio:

`(3)/(7):1:(2)/(5)`

Therefore we add the ratios:

`(3)/(7)+1+(2)/(5)=(64)/(35)`

So, the winning is given by:

Amina

`((3)/(7)/(64)/(35))*10210=(3*35)/(7*64)*10210=(105)/(448)*10210=2392.97`

Lloyd

`(1/(64)/(35))*10210=(1*35)/(1*64)*10210=(35)/(64)*10210=5583.59`

Katlyn

`((2)/(5)/(64)/(35))*10210=(2*35)/(5*64)*10210=(70)/(320)*10210=2233.44`

Answer:

Amina - $2392.97

Lloyd - $5583.59

Katlyn - $2233.44