a purse has 2 ruppee coins and 5 ruppee coins. the total coins are 30 and sum of the amount is 114. no of 2 ruppee coins
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Answer:
24
Step-by-step explanation:
LET NUMBER OF TWO RUPEES COIN BE 'X'
LET THE NUMBER OF 5 RUPEES COIN BE 'Y'
1ST EQUATION: X+Y=30
2ND EQUATION:- 2X+5Y=114
BY SUBSTITUTION METHOD:-
LET WE TAKE EQUATION 1 (X+Y=30) SO,X=30-Y
NOW LET WE SUBSTITUTE VAL OF X IN EQUATION 2
2(30-Y)+5Y=114
60-2Y+5Y=114
3Y=54
Y=54/3
Y=18
LET WE SUBSTITUTE VALUE OF Y IN EQUATION 1
X+18=30
X=30-18
X=12
THE TOTAL NUMBER OF 2 RUPEE COIN IS 12
TOTAL NUMBER OF 5 RUPEE COIN IS 18
THE VALUE OF 2 RUPEE COIN IS 12×2=24
THE VALUE OF 5 RUPEE COIN IS 18×5=90
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