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Let x be the number of gasoline and y be the number of gallons of kerosene loaded in the truck.

x+ y =5000. Equation 1.

Profit from x gallons of gasoline= $0.15x

Profit from y gallons of kerosene= $0.14y

So

0.15x + 0.14y = 725. Equation 2

Multiplying equation 1 by 0.15 and substact eq. 2 from it we get

0.15y - 0.14y = 5000x0.15 - 725

0.01y = 25

y = 25/0.01

y = 2500

Therefore y= 2500 gallons kerosene

Substituting in eq 1, we get

x= 5000- 2500 = 2500 gallons gasoline.

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