Problema Solution

A certain bronze alloy containing 4% tin is to be added to 350 kg of bronze containing 18% tin to produce a new bronze containing 15% tin. How many kilograms of the 4% bronze are required.

Answer provided by our tutors

Let x = no. of kgs of 4% tin alloy

350 - x = no. of kgs of 18% tin alloy

.04(x) + 0.18(350 - x) = 0.15(350)

.04x + 63 - .18x = 52.5

0.04x - 0.18x = 52.5 - 63

-0.14x = -10.5

x = -10.5/(-0.14)

x = 75 kgs of 4% tin alloy

350 - 75 = 275 kgs of 18% tin allow