Mia and Gianna are going to share $180 either in the ratio of the number of brothers they each have, or in the ratio of the number of sisters they each have.
Mia has two brothers and three sisters.
Gianna has one brother and five sisters
How much more would Gianna get if they shared the money in the ratio of the number of sisters rather than the ratio of brothers?
Answers
Step-by-step explanation:
Given:-
Mia and Gianna are going to share $180 either in the ratio of the number of brothers they each have, or in the ratio of the number of sisters they each have. Mia has two brothers and three sisters.Gianna has one brother and five sisters
To find:-
How much more would Gianna get if they shared the money in the ratio of the number of sisters rather than the ratio of brothers?
Solution:-
Given that
Total amount is given for sharing = $180
Number of brothers Mia = 2
Number of brothers Gianna = 1
The ratio of the number of brothers of Mia and Giana = 2:1
Total parts = 2+1 = 3
Total parts = $180
=> 3 parts = $180
=> 1 part = $180 /3
=> 1 part = $60
=> 2 parts = 2×$60
=> 2 parts = $120
The share of Mia = $120
The share of Gianna = $60
Number of sisters of Mia = 3
Number of sisters of Gianna = 5
The ratio of the number of Sisters of Mia and Gianna = 3:5
Total parts = 3+5 = 8
Total parts = $180
=> 8 parts = $180
=> 1 part = $180/8
=> 1 part =$ 22.5
=> 3 parts = 3× $ 22.5
=> 3 parts = $ 67.5
=> 5 parts = 5 × $ 22.5
=> 5 parts = $ 112.5
The share of Mia = $ 67.5
The share of Gianna = $ 112.5
Gianna got more amount if they shared the money according to the ratio of the number of sisters than the ratio of the number of brothers each they have
Gianna got $ 112.5 according to the ratio of the number of sisters each they have
Gianna got $60 according to the ratio of the number of brothers each they have
She will get $ 112.5-$60 = $52.5 more money
Answer:-
$52.5 more money Gianna would get if they shared the money in the ratio of the number of sisters rather than the ratio of brothers