dan is 18 years old. He works for his father for 3/4 of the year, and he works for his brother for the rest of the year. What is the ratio of the time per year

Question

dan is 18 years old. He works for his father for 3/4 of the year, and he works for his brother for the rest of the year. What is the ratio of the time per year that Dan spends working for his brother to the time he spends working for his father?

Answer 1

If he spends 3/4 of the year working for his father, then he spends the rest of the year working for his brother, which is

 

1 - 3/4 = 1/4

 

So he spends 1/4 of the year working for his brother

 

Ratio of time working for brother (1/4) to time working for father (3/4) =

 

1/4

___

3/4

 

 

1/4 divided by 3/4 = 1/4 x 4/3 (reverse the fraction and multiply)

 

1/4 x 4/3 = 4/12 = 1/3

 

So the ratio of time spent working for his brother to time spent working for his father is 1/3

 

Answer 2

If one employer has him for 3/4 year, the other has him for 1/4 of the year. So, the ratio is 3:1 (father to brother), or the ratio of brother to father is 1:3.