Question

Rahul has 260 coins of rupees 1, rupees 2 and rupees 5 altogether the total value of the money is rupees 309. The number of rupees 2 coins is three times the number of rupees 5 coins. Find the number of each type.

Answer 1

Answer:

1rs. coins=232 2 rs. coins =21 5 rs. coins =7

Step-by-step explanation:

x =1 rs coins

y=2 rs coins

z=5 rs coins

x+y+z=260 ,given

x +2y+ 5z= 309 , value

y= 3z

x+3z+z=260 x+4z=260

x+2(3z)+5z=309 x+11z=309

x+4z=260 subtract

7z=49 z=49/7=7

so 5 rs coins are 7 and value 5×7=35

putting z's value in equation x+11(7)=309

x+77=309 x=232

also y=3z=3×7=21

hence 1 rs coins are 232 and 2 rs coins are 21 ,value 42

To verify

232+21+7=260 = number of coins

232+42+35=309= value of total coins

hope it helps