Question

divide rs.150 between two children in the ratio 1/2:1/3​

Answer 1

Answer:

90 & 60

Step-by-step explanation:

1/2+1/3 = (3+2)/6

= 5/6

5/6 ->150

1/2 -> (1/2)/(5/6) * 150 = 1/2*6/5*150 = 90

1/3 -> (1/3)/(5/6)*150 = 60

90 & 60

Answer 2

Answer

We know that some amount is to be distributed among two children. We can clearly see that, both of them aren't getting the same amount of money. They are getting different parts of the amount. We are also given with the ratio.

According to the question,

$\sf \dashrightarrow \dfrac{1}{2} : \dfrac{1}{3} = 150$

$\sf \dashrightarrow \dfrac{1}{2}x + \dfrac{1}{3}x = 150$

$\sf \dashrightarrow \dfrac{1x}{2} + \dfrac{1x}{3} = 150$

$\sf \dashrightarrow \dfrac{3x + 2x}{6} = 150$

$\sf \dashrightarrow 3x + 2x = 150 \times 6$

$\sf \dashrightarrow 5x = 900$

$\sf \dashrightarrow x = \dfrac{900}{5}$

$\sf \dashrightarrow x = 180$

Now, we can find out that how much money will each of them will get.

Money given to first child :

$\sf \dashrightarrow \dfrac{1}{2}x = \dfrac{1}{2} \bigg( 180 \bigg)$

$\sf \dashrightarrow \cancel \dfrac{180}{2} = 90$

Money given to second child :

$\sf \dashrightarrow \dfrac{1}{3}x = \dfrac{1}{3} \bigg( 180 \bigg)$

$\sf \dashrightarrow \cancel \dfrac{180}{3} = 60$

Hence, both of them will get 90 and 60 rupees respectively.