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I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 500 pounds more than each of her trucks, but no more than 3/8 of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?

 Mar 20, 2024
 #1
avatar+128406 
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Let the load that your truck  can  carry   =  x

Let the load that each of  your neighbors trucks can carry =  y

 

We have

 

x  -  y   ≥  500

 

x ≤ (3/8) (4y)      →  x ≤ (3/2)y

 

See the graph here :

 

Max your tuck can carry  =1500 lbs

 

 

cool cool cool

 Mar 20, 2024

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