A silversmith has two alloys, one containing 30% silver and the other, 55%. How much of each should be melted and combined to obtain 100 grams containing 45% silver?

Question

kira_yamato · Answer

Let the mass of 30% Ag be x g, and that of the 55% Ag by y g.
Are you able to set up two equations containing x and y?

kira_yamato · Answer

One of them is very simple to set up, while the other takes a bit of thinking.

kira_yamato · Answer

The first comes from the total mass of the new alloy, while the second comes from the percentage of Ag in the new alloy.

kira_yamato · Answer

Alright here are the equations.
x + y = 100 (from the mass of the new alloy)
0.3x + 0.55y = 45 (from the concentration of Ag in each alloy). Solve this system of equations.

anonymous · Answer

thank you.