If 3 sisters receive $180 and split it so that the middle siser gets twice as much as the youngest sister and the oldest sister gets three times as much as the youngest sister, how much does the youngest sister get?

Question

Zaria Wood

Mathematics

28 September, 21:24

If 3 sisters receive $180 and split it so that the middle siser gets twice as much as the youngest sister and the oldest sister gets three times as much as the youngest sister, how much does the youngest sister get?

+5

Answers (2)

Know the Answer?

Alexander Simon · Answer 1

Answer: the youngest sister gets $30

Step-by-step explanation:

Let x represent the amount of money that the youngest sister gets.

If the middle sister gets twice as much as the youngest sister, it means that the amount of money that the middle sister gets is 2x

If the oldest sister gets three times as much as the youngest sister, it means that the amount of money that the oldest sister gets is 3x

If the total amount of money that they received is $180, it means that

x + 2x + 3x = 180

6x = 180

x = 180/6

x = $30

Hunter Solomon · Answer 2

30$

Step-by-step explanation:

1st sister is 3x

2nd sister 2x

3th is x

3x+2x+x=180

6x=180

X=30