Given: Container with 100 gm of silver is mixed with 60 gm of Copper
32 gm of the mixture from the container is taken out and a certain quantity of copper and silver is mixed in the ratio of 4 : 3
The ratio of silver to Copper in the resulting mixture is 49 : 36
Calculation: According to question,
Container with 100 gm of silver is mixed with 60 gm of Copper
Ratio of silver and copper initially = 100 : 60 = 5 : 3
32 gm of mixture from container is taken out
⇒ Quantity of silver taken out = (
) × 32 = 20 gm
⇒ Quantity of copper taken out = (
) × 32 = 12 gm
Let the quantity of copper and silver mixed be 4x and 3x
Now,
⇒
=
⇒
=
⇒ (100 – 20 + 3x) × 36 = (60 – 12 + 4x) × 49
⇒ 2880 + 108x = 2352 + 196x
⇒ 88x = 528
⇒ x = 6
∴ Quantity of copper added = 4x = 4 × 6 = 24 gm