Question

rabi has 3 times as mani rs 2 coins as she has rs. 5 coins . If she has in all a sum of rs. 55 , How many coins of each​

Answer 1

Solution :

$\bf{\red{\underline{\bf{Given\::}}}}$

Rabi has 3 times as Many Rs.2 coins as she has Rs.5 coins. If she has in all a sum of Rs.55.

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The coins of each.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

Rabi have two coins Rs.2 and Rs.5

Let the number Rs.5 coin be r

Let the number Rs.2 coin be 3r

A/q

$\longrightarrow\sf{5\times r+2\times 3r=55}\\\\\longrightarrow\sf{5r+6r=55}\\\\\longrightarrow\sf{11r=55}\\\\\longrightarrow\sf{r=\cancel{\dfrac{55}{11}}} \\\\\longrightarrow\sf{\orange{r=5}}$

Thus;

$\boxed{\sf{The\:number\:of\:Rs.5\:coin=r=\boxed{\bf{5\:coins}}}}\\\boxed{\sf{The\:number\:of\:Rs.2\:coin=3r=(3\times 5)=\boxed{\bf{15\:coins}}}}}}$

Answer 2

Correct Question:

Rabi has 3 times as many rs 2 coins as she has rs. 5 coins . If she has in all a sum of rs. 55 .How many coins of each denominator does she have?

Solution:

◍Let the 5 Rs coin be = x

Given:

✧Number of 2 Rs coin is 3 times as number of 5 Rs coin.

◍Means 2Rs coin be = 3x

Now,

◍Total amount of 5 rs coin = 5x

◍Total amount of 2rs coin = 2×3x=6x

✿ According to the ques,

➜Total amount Rabi has = 55

Therefore,

➜5x+6x=55

➜11x = 55

➜x = 55/11

➜x = 5

◍Number of 5 Rs coin = x = 5

◍Number of 2Rs coin = 3x = 3×5= 15.Rs