Answer:
Number of rs 1= 80
Number of rs 2=60
Number of rs 5=20
Step-by-step explanation:
Given the total number of coins as 160 and their value as Rs 300. Let the number of Rs 5 coin be [tex]x[/tex]
#Given that Rs 2 is 3x Rs 5:
-The number of Rs 2=[tex]3x[/tex], so the number of Rs 1 is calculated as:
[tex]n_1+n_2+n_3=160\\\\n_1+x+3x=160\\\\n_1=160-4x[/tex]
Amounts for each coin is:
[tex]1(160-4x)=160-4x\\\\2\times 3x=6x\\\\5\times x=5x\\\\\therefore 160-4x+5x+6x=300\\7x=140\\\\x=20[/tex]
#Substitute the x for each denomination to find it's number:
[tex]n_1=160-4(20)=80\\\\n_2=3(20)=60\\\\n_5=x=20[/tex]
Hence,
#Number of rs 1= 80
#Number of rs 2=60
#Number of rs 5=20
