Question

Shipra has 36 coins in her piggy bank. It contains some 1 rupee coins, 2 rupees coins and 5 rupees coins. The total amount is Rs.88. Find the number of coins in each

Answer 1

Shipra has 3 rupees which means 300 paise(1 rupee=100 paise)
She has some 25 paise, some 10 paise and some 5 paise.
i.e 25a+10b+5c=300----------(1)
All together she has 36 coins in total.
i.e a+b+c=36-----------(2)
'a' denotes the number of 25 paise coins
'b' denotes the number of 10 paise coins
'c' denotes the number of 5 paise coins
Solving equations (1) and (2) we get
4a+b=24 (if we cancel 'c')
4a+b=24---------(3)
b=24-4a----------(4)
Now substitute values of 'a'
If a=1 then b=20 and c=15
If a=2 then b=16 and c=18
If a=3 then b=12 and c=21
If a=4 then b=8 and c=24
If a=5 then b=4 and c=27
Solution 1
There will be one 25 paise coin, twenty 25 paise coins and fifteen 5 paise coins in her piggy bank.
Solution 2
There will be two 25 paise coins, sixteen 10 paise coins and eighteen 5 paise coins in her piggy bank.
Solution 3
There will be three 25 paise coins, twelve 10 paise coins and twenty one 5 paise coins in her piggy bank.
Solution 4
There will be four 25 paise coins, eight 10 paise coins and twenty four 5 paise coins in her piggy bank.
Solution 5
There will be five 25 paise coins, four 10 paise coins and twenty seven 5 paise coins .

Answer 2

total coins = 36
now,
1x+2x+3x= 36
total sum = rs 88
5x =36
x =36/5
x=6.5
now,
x=6.5
amount of 1 rupee coin =1 x
= 1*6.5
= 6.5
amount of 2rupee coin = 2x
=2*6.5=13
amount of 3 rupee coin = 3x =3*6.5=19.5
now it is given that,
6.5+13+19.5= 88