Problema Solution
How many liters of 10% silver must be added to 70 liters of 50% silver to make alloy that is 20% silver?
Answer provided by our tutors
let
x = liters of the 10% silver
70 liters of the 50% silver
we mix them together to get x + 70 liters of allot that is 20% silver
the % of the silver in the first + the % of the silver in the second = the % of the silver in the total
0.1*x + 0.5*70 = 0.2*(x + 70)
by solving the equation we find
x = 210 liters
we should use 210 liters of the 10% silver.
let
x = liters of the 10% silver
70 liters of the 50% silver
we mix them together to get x + 70 liters of allot that is 20% silver
the silver in the first + the silver in the second = the total silver in the alloy
0.1*x + 0.5*70 = 0.2*(x + 70)
by solving the equation we find
x = 210 liters
we should use 210 liters of the 10% silver.