rakshati has only one rupee and 2 rupee coin with him if the total number of coins that he has is 50 and the amount of money with him is 75 rupees from a pair of linear equation in two variable for the above situation
Answers
Answer:
answer is 25
Step-by-step explanation:
Given:-
Rakshita has Rs 1 and Rs 2 coins with her.
Total coins are 50
Amount of coins are Rs 75
To find:-
Number of Rs.1 and Rs.2 coins.
Solution:-
Let the number of Rs 1 coins be x and number of Rs 2 coins be y
\begin{gathered}\tt So, \:According\:to\:the \:Question\\\\ \tt the \:total \:number\: of \:coins \: are\:50\\\\ \tt \Rightarrow x+y=50\rightarrow\rightarrow\rightarrow\rightarrow\rightarrow(1)\end{gathered}
So,AccordingtotheQuestion
thetotalnumberofcoinsare50
⇒x+y=50→→→→→(1)
and
\begin{gathered}\tt The \:total \:amount\: of \:coins \: are\:Rs.75\\\\ \tt \Rightarrow x+2y=75\rightarrow\rightarrow\rightarrow\rightarrow\rightarrow(2)\end{gathered}
ThetotalamountofcoinsareRs.75
⇒x+2y=75→→→→→(2)
Solving eq (1) and (2)
\begin{gathered}\tt x+2y=75\rightarrow\rightarrow\rightarrow\rightarrow\rightarrow(2)\\\\\tt x+y=50\rightarrow\rightarrow\rightarrow\rightarrow\rightarrow(1)\\\\\tt By \: solving \:we \:get\:x=25\:and \:y=25\end{gathered}
x+2y=75→→→→→(2)
x+y=50→→→→→(1)
Bysolvingwegetx=25andy=25
So, number of Rs.1 coin= 25
and
number of Rs 2 coins = 25
Answer:
- No of one rupee coins =25
- Total amount= 25
- no of 2 rupee coin= 25
- total amount= 50
- total amount= 25+50=75