# Help pn some Math problems!

<li><p>The owner of a store sells raisins for \$3.20 per pound and nuts for \$2.40 per pound. He decides to mix the raisins and nuts and sell 50 lb of the mixture for \$2.72 per pound. What quantities of raisins and nuts should he use?</p></li>
<li><p>Anthony leaves Kingstown at 2:00 PM and drives to Queensville, 160 mi distant, at 45 MPH. At 2:15 PM Helen leaves Queensville and drives to Kingstown at 40 MPH. At what time do they pass eachother on the road?</p></li>
<li><p>Abbie paints twice as fast as Beth and three times as fast as Cathie. If it takes them 60 min to paint a living room with all 3 working together, how long would it take Abbie if she works alone?</p></li>
</ol>

<p>I need help with the process, not the answers. Thanks</p>

<p>1) system...
x+y=50
(3.2x+2.4y)/50=2.72</p>

<p>so x=50-y substitute this for x into 2nd eq.
160-3.2y+2.4y)/50=2.72 mult by 50 on both sides and subt 160
-.8y=-24 solve for y
y=30
soooo x=20</p>

<p>too lazy for others :(</p>

<p>Anthony leaves Kingstown at 2:00 PM and drives to Queensville, 160 mi distant, at 45 MPH. At 2:15 PM Helen leaves Queensville and drives to Kingstown at 40 MPH. At what time do they pass each other on the road?</p>

<p>Process thoughts:
1. We know the closing speed is 95 mph.
2. If we knew an exact distance between A and H at the same time, we could divide distance by the closing speed to get time consumed.</p>

<p>So...
At 2:15 Where is Anthony?
How far from Helen is he at 2:15 (i.e., how far apart are they)?
....
I'll leave the details to you</p>

<p>Abbie paints twice as fast as Beth and three times as fast as Cathie. If it takes them 60 min to paint a living room with all 3 working together, how long would it take Abbie if she works alone?</p>

<p>If it takes person "P" p minutes to complete a task, then his work rate is 1 task / p minutes, that is 1/p.</p>

<p>If we knew 1/A, we could figure out A.
What we do know is 1/A + 1/B + 1C = 1/60;
We also know 2A = B and 3A = C
...
Which should help</p>