Question

rachel just took a trip in her go - kart. the go - kart used 3.3 liters of fuel on the trip. now, the go - kart has 5.95 liters of fuel.
(a) let a be the amount of fuel the go - kart had before the trip (in liters). write an equation that can be used to find a. first choose an appropriate form. then fill in the blanks with the letter a and the numbers 3.3 and 5.95.
(b) solve your equation for a to find the amount of fuel the go - kart had before the trip.

Explanation:

Part (a)

Step1: Identify the relationship

The initial amount of fuel is \( A \). After using 3.3 liters (subtracting 3.3 from \( A \)), the remaining fuel is 5.95 liters. So the relationship is initial amount minus used amount equals remaining amount.

Step2: Form the equation

Using the relationship from Step 1, we substitute the values: \( A - 3.3 = 5.95 \)

Part (b)

Step1: Start with the equation

We have the equation \( A - 3.3 = 5.95 \) from part (a).

Step2: Solve for \( A \)

To isolate \( A \), we add 3.3 to both sides of the equation.
\( A - 3.3 + 3.3 = 5.95 + 3.3 \)
Simplifying both sides, the left side becomes \( A \) (since \( -3.3 + 3.3 = 0 \)) and the right side is \( 5.95 + 3.3 = 9.25 \). So \( A = 9.25 \).

Answer:

The equation is \( A - 3.3 = 5.95 \)