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A standard airline jet has 25,812 gallons of fuel and burns 4.2 gallons per mile. A jumbo airline jet has 31,311 gallons of fuel and burns 5.5 gallons of fuel per mile. How many miles () must each jet travel so they both have the same amount of fuel remaining?

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JeanaShupp

Answer: 4,230 miles

Step-by-step explanation:

Let x = Number of miles each jet travel so they both have the same amount of fuel remaining.

Fuel left  = (Initial fuel)- (Fuel burns  per mile)(Number of miles)

For standard airline,

Fuel left = 25812 - 4.2 x

For Jumbo airline,

Fuel left = 31311 - 5.5 x

According to the question,

[tex]25812 - 4.2 x=31311 - 5.5 x\\\\\Rightarrow\ 5.5x-4.2x=31311-25812\\\\\Rightarrow\ 1.3x= 5499\\\\\Rightarrow\ x=\dfrac{5499}{1.3}\\\\\Rightarrow\ x=4230[/tex]

Hence, Each jet must travel 4,230 miles so they both have the same amount of fuel remaining.

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