The cost of 4 bags and 3 boxes is ` 555 and the cost of 3 bags and 4 boxes is ` 460. What is the cost of one bag?
Answer
Answer (as printed):
Explanation
Let the cost of 1 bag be ` x and that of 1 box be ` y. Then, 4x + 3y = 555 ...(i) and 3x + 4y = 460° ...(ii) Adding (i) and (ii), we get: 7x + 7y = 1015 or x + y = 145 ...(iii) Subtracting (ii) from (i), we get: x – y = 95 ...(iv) Adding (iii) and (iv), we get: 2x = 240 or x = 120. Hence, cost of 1 bag = ` 120.
Explanation as extracted from the printed page; notation may be imperfect.