A chemist needs to mix a 2% acid solution and a 10% acid solution to make 6000 millimeters of a 5% acid solution

T=2%

e=10%

t+e=6000

2t+10e=6000*5

2t+10e=30000

divide both sides by 2

t+5e=15000

we have

t+e=6000

t+5e=15000

multiply first equation by - 1 and add to second

-t-e=-6000

t+5e=15000 +

0t+4e=9000

4e=9000

divide both sides by 4

e=2250

sub back

t+e=6000

t+2250=6000

minus 2250 from both sides

t=3750

3750ml of the 2% solution

2250ml of the 10% solution