Question 1145311
<br>
x = cups of the first mixture
y = cups of the second mixture<br>
sugar equation: {{{0.2x+0.5y = 8}}}
salt equation: {{{0.6x+0.3y = 6}}}<br>
Solve by elimination: multiply the first equation by 3 and subtract the second equation.<br><pre>
   0.6x + 1.5y = 24
   0.6x + 0.3y =  6
  ------------------
          1.2y = 18</pre>
y = 18/1.2 = 15<br>
Substitute y=15 in one of the original equations:<br>
{{{0.2x+0.5(15) = 8}}}
{{{0.2x+7.5 = 8}}}
{{{0.2x = 0.5}}}
{{{x = 0.5/0.2 = 2.5}}}<br>
ANSWER: 2.5 cups of the first mixture and 15 cups of the second.<br>
CHECK:
sugar: 0.2(2.5)+0.5(15) = 0.5+7.5 = 8
salt: 0.6(2.5)+0.3(15) = 1.5+4.5 = 6