A man loves to go hiking.  He knows that he has to pack about .5 pounds of supplies for every mile he hikes.  He plans to go for a very long hike.  He knows that he can get 1 resupply during the hike that will be 25% as large as his first pack.  He can hike at a rate of 2.5 mph.  He is going to hike 8 hours a day for 5 days.  How much does he need to bring with his first pack?
He is going to hike 8*=40 hours.
That means he will be hiking for 40*2.5=
<gadget id="calculator">40*2.5</gadget>
<output>100</output>
100 miles.
So he needs 100*.5=
<gadget id="calculator">100*.5</gadget>
<output>50</output>
50 pounds of supplies.
With the resupply he can get up to 1+.25=
<gadget id="calculator">1+.25</gadget>
<output>1.25</output>
1.25 times his initial pack.
That means his initial pack has to weigh 50/1.25=
<gadget id="calculator">50/1.25</gadget>
<output>40</output>
40 pounds.

<result>40</result>