Tom and Hazel share a prize of $153,000 between them in the ratio 7:10. Hazel shares her part between herself, her mother and her daughter in the ratio 6:1:1. Calculate the money Hazel’s mother will receive.
Answers
According to the question:
Tom and Hazel share a prize of $153,000 between them in the ratio 7:10.
Hence, the prize of $153,000 is divided into 17 equal parts. (7 + 10)
Therefore tom gets 7x parts of the prize, and Hazel gets 10x parts of the prize. (Where x is a positive number)
⇒ Tom's share + Hazel's share = Total amount.
⇒ 7x + 10x = 153,000
⇒ 17x = 153,000
⇒ x = 153,000/17
⇒ x = 9000
⇒ Tom's share of the money = 7x = 7(9000) = $63000
⇒ Hazel's share of the money = 10x = 10(9000) = $90000
Now, Hazel shared her part of $90000 with herself, her mother & her daughter in the ratio 6:1:1.
This means that the money with Hazel has been divided into 8 equal parts. (6 + 1 + 1)
Therefore, Hazel has 6y parts of the money, her mother & her daughter have y parts of the money respectively.
(Where y is a positive number)
⇒ Hazel's share + Mom's Share + Daughters Share = 90000
⇒ 6y + y + y = 90000
⇒ 8y = 90000
⇒ y = 90000/8
⇒ y = 11250
⇒ Hazel's share = 6y = 6(11250) = $67500
⇒ Hazel's mom's share = y = $11250
⇒ Hazel's daughter's share = y = $11250
∴ Hazel's Mom will receive $11250