Question

At the Last Chance Filling Station, gas costs $1.60 a gallon. Trevor paid $32.00 to fill his tank. How many gallons of gas did he buy? Write an algebraic equation that represents the scenario. Solve to find the solution

Answer 1

Answer:

Trevor bought 20 gallons of gas. The algebraic equation that represents the scenario is $x=\frac{32}{1.6}$, o r what is the same, $gallons purchased=\frac{total paid}{cost per gallon}$

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other, the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Then

$x=\frac{c*b}{a}$

The rule of three can be applied as follows: if a gallon costs $ 1.60, how many gallons cost $ 32.00? So, defining x as the number of gallons purchased:

$x=\frac{32*1gallon}{1.6}$

x= 20 galllons

Trevor bought 20 gallons of gas. The algebraic equation that represents the scenario is $x=\frac{32}{1.6}$, o r what is the same, $gallons purchased=\frac{total paid}{cost per gallon}$

Answer 2

let x  be the number of gallons bought then

1.6x = 32 ( algebraic equation representation )

to find x divide both sides by 1.6

x = $\frac{32}{1.6}$ = 20

Trevor bought 20 gallons of gas