Respuesta :

Answer:

6000

Step-by-step explanation:

Answer:

40 liters

Step-by-step explanation:

We know that the car travels 150km in 12l of gasoline. To find how many liters of gasoline are need to travel 500km, we simply make a proportion equation.

First, lets write down what we know . . .

1.) 12L of gas = 150km

2.) ?L of gas = 500km

Now since we have the two proportions, its time to add them into an equation and solve them. In this equation, I will use fraction to compare both.

1.) [tex]\frac{12}{150} =\frac{?}{500}[/tex]      (Liters on top, km on the bottom)

2.)  [tex]\frac{12}{150} =\frac{x}{500}[/tex]      (Solve the equation using cross-muliplication)

3.) 150 × X = 12 × 500      (Cross multiplied)

4.) 150x = 6000       (Solve Algebraically)

5.)  [tex]\frac{150x}{150} = \frac{6000}{150}[/tex]       (Divide both sides by 150 to cancel out the 150 (rule))

6.) x = 40       (Answer)

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-Expert Chicken Sama