Solve for X 4X-(9-3X)=8X-1
1 answer:
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<span>Let t=time Doreen travels; let r=rate of Doreen
RATE * TIME = DIST.
Sue | r+13 t-3 105
Doreen | r t 64
Now solve the system:
(r+13)(t-3)=105
</span>r*t=64<span>
</span>
<span>
Doreen: rate = 8 mph, time = 8 hours
Sue: </span>rate = 21 mph, time = 5 hours<span>
</span>
RATE * TIME = DIST.
Sue | r+13 t-3 105
Doreen | r t 64
Now solve the system:
(r+13)(t-3)=105
</span>r*t=64<span>
</span>
Doreen: rate = 8 mph, time = 8 hours
Sue: </span>rate = 21 mph, time = 5 hours<span>
</span>
Let x% be the salt concentration of first solution.
Then in 8ml, amount of salt =
Given that to this 8ml solution, 11ml solution of a 47% salt solution is mixed.
amount of salt in 11ml of 47% salt solution is =
So, total amount of salt in new mixture =
But given that this new solution is a 43% salt solution.
Hence amount of salt in new mixture of (8+11)=19ml solution of 43% salt solution is
Hence
8x+517 = 817
8x=817-517 = 300
x= 300/8 = 37.5
Hence the salt concentration in the first solution is 37.5%