Question

m.14 solve equations with variables on both sides: word probl...
tanner and his sister, mona, both brought gummy bears on a family car trip. at the beginning of the drive, mona had twice as many gummy bears as tanner. while on the road, mona ate 23 of her gummy bears and tanner ate 7 of his. when they got to their destination, tanner realized they each had the same number of gummy bears left.
which equation can you use to find t, the number of gummy bears tanner had at the beginning of the drive?
$t - 2 = 23t - 7$
$2t - 23 = t - 7$
how many gummy bears did tanner have at the beginning of the drive?
gummy bears

Explanation:

Part 1: Identifying the Correct Equation

Step 1: Define Variables

Let \( t \) be the number of gummy bears Tanner had initially. Mona had twice as many, so Mona had \( 2t \) initially.

Step 2: Calculate Remaining Gummy Bears

Tanner ate 7, so he has \( t - 7 \) left. Mona ate 23, so she has \( 2t - 23 \) left.

Step 3: Set Up the Equation

Since they had the same number left, we set \( 2t - 23 = t - 7 \).

Step 1: Subtract \( t \) from Both Sides

\( 2t - t - 23 = t - t - 7 \)
\( t - 23 = -7 \)

Step 2: Add 23 to Both Sides

\( t - 23 + 23 = -7 + 23 \)
\( t = 16 \)

Answer:

\( 2t - 23 = t - 7 \)

Part 2: Solving for \( t \)