Two mixtures A and B have the following compositions:
Mixture A has copper and tin in a ratio of 1 : 2
Mixture B has copper and tin in a ratio of 1 : 3
If equal quantities of mixtures A and B are used for producing mixture C, then find the ratio of copper and tin in mixture C.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 7 : 17.
Given:
Copper : tin = 1 : 2 (Mixture A)
Copper : tin = 1 : 3 (Mixture B)
Calculations:
If equal quantity is mixed i.e.
⇒ Copper : tin = 1 : 2 (Mixture A) ---- (1)
⇒ Copper : tin = 1 : 3 (Mixture B) ---- (2)
Multiply equation (1) with 4 and equation (2) with 3
⇒ Copper : tin = 4 : 8 (Mixture A)
⇒ Copper : tin = 3 : 9 (Mixture B)
Ratio of copper and tin in mixture C = (4 + 3) : (8 : 9)
⇒ 7 : 17