2)
A certain number of two-rupee coins and a certain number of five rupee coins in a piggy
bank of a child amount of Rs.47. If the number of each kind are interchanged, they would
amount to Rs.3 less than before. Find the number of coins of each kind.
please help
Answers
Step-by-step explanation: let number if 2 rupees coin be =x
Number of 5 rupee coin be =y
Then
2x+5y=47...eq1
2y+5x=44...eq2
Then solve both the equation
2x+5y-47 =0 eq..3 multiply by 5
2y+5x-44 =0 eq...4 multiply by 2
So
10x+25y-235=4y+10x-88
(10x-10×)+21y=-88+235
21y=147
y=147/21=7...eq5
Place eq 5 in eq1
2x+5 (7)-47=0
2x+35-47=0
2x=12
×=6
Means 6 2rupee coins and 7 5 rupee coins
I HAVE WRITTEN A LOT FOR THE FIRST TIME SO PLEASE MARK IT BRAIN LIST
ANSWER:
Step-by-step explanation: let number if 2 rupees coin be =x
Number of 5 rupee coin be =y
Then
2x+5y=47...eq1
2y+5x=44...eq2
Then solve both the equation
2x+5y-47 =0 eq..3 multiply by 5
2y+5x-44 =0 eq...4 multiply by 2
So
10x+25y-235=4y+10x-88
(10x-10×)+21y=-88+235
21y=147
y=147/21=7...eq5
Place eq 5 in eq1
2x+5 (7)-47=0
2x+35-47=0
2x=12
×=6
SO THE NO OF 2 RUPEE COINS ARE 2(6)=12 COINS
5 RUPEE COINS ARE ;7(5)=35 COINS