SOLUTION: 1. Ten men can paint a house in 3 days. In how many days can 5 men finish the same job? a.4 days b.5 days c.6 days d.7 days e.8 days 2. A vessel contains 2 liters of alcoho

Algebra ->  Equations -> SOLUTION: 1. Ten men can paint a house in 3 days. In how many days can 5 men finish the same job? a.4 days b.5 days c.6 days d.7 days e.8 days 2. A vessel contains 2 liters of alcoho      Log On


   



Question 921386: 1. Ten men can paint a house in 3 days. In how many days can 5 men finish the same job?
a.4 days
b.5 days
c.6 days
d.7 days
e.8 days
2. A vessel contains 2 liters of alcohol and 28 liters of water. How many liters of alcohol must be added to make the new mixtures 12.5% alcohol?
a.2
b.2 2/7
c.3
d.3 3/7
e.4 2/7

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Half the number of men take twice as long
(c) 6 days
------------
let +x+ = liters of alcohol to be added
++%28%28+2+%2B+x+%29%29+%2F+%28%28+2+%2B+28+%2B+x+%29%29+=+.125+
+%28%28+2+%2B+x+%29%29+%2F+%28%28+30+%2B+x+%29%29+=+1%2F8+
+8%2A%28+2+%2B+x+%29+=+30+%2B+x+
+16+%2B+8x+=+30+%2B+x+
+7x+=+14+
+x+=+2+
-------------
(a) 2
check:
+%28+2+%2B+x+%29+%2F+%28+30+%2B+x+%29+=+1%2F8+
+%28+2+%2B+2+%29+%2F+%28+30+%2B+2+%29+=+1%2F8+
+4+%2F+32+=+1%2F8+
+1%2F8+=+1%2F8+
OK