Question 344455
Let A be the amount of 35% silver alloy, B the amount of 66% silver alloy.
Total weight equation:
1.{{{A+B=100}}}
Total silver concentration equation:
{{{35A+66B=45(100)}}}
2.{{{35A+66B=4500}}}
From eq. 1,
{{{A=100-B}}}
Substitute in eq. 2,
{{{35(100-B)+66B=4500}}}
{{{3500-35B+66B=4500}}}
{{{31B=1000}}}
{{{highlight(B=1000/31)}}}grams
.
.
.
Then from eq. 1,
{{{A+1000/31=100}}}
{{{A=3100/31-1000/31}}}
{{{highlight(A=2100/31)}}}grams