Question

1. together, ryan and gage are missing 4 pokemon cards. ryan started with 8 cards. write an addition equation, then determine how many pokemon cards gage started with.

Explanation:

Step1: Define variables

Let \( R \) be Ryan's cards (\( R = 8 \)), \( G \) be Gage's cards, and total \( T = 12 \) (from the note \( 8 + 4 = 12 \)? Wait, maybe total is 12? Wait, the user's note has \( 48 = 64 \)? No, maybe the total missing is 12? Wait, let's re-express. The problem: Ryan has 8, together (Ryan + Gage) have... Wait, the handwritten part has \( 64 = 12 \)? No, maybe the correct total is 12? Wait, the addition equation: Let \( G \) be Gage's cards. So \( 8 + G = 12 \) (assuming total is 12, from \( 8 + 4 = 12 \)? Wait, the pink text says "missing 4" and Ryan has 8. Wait, maybe the total number of cards they started with together is 12? So:

Step2: Set up equation

Let \( G \) = Gage's cards. Ryan's cards: \( 8 \). Total: \( 8 + G = 12 \) (since \( 8 + 4 = 12 \), maybe Gage has 4? Wait, no, the handwritten \( 48 = 64 \) is wrong. Wait, the problem says "Write an addition equation, then determine how many pokemon cards Gage started with." Let's assume the total number of cards they have together is 12 (from \( 8 + 4 = 12 \), maybe the "missing 4" is Gage's? No, re-reading: "Together, Ryan and Gage are missing 4 pokemon cards. Ryan started with 8 cards. Write an addition equation, then determine how many pokemon cards Gage started with." Wait, maybe "missing" is a typo, and "have" instead? So total cards they have together: let's say total is \( 8 + G \), and maybe the total is 12 (from \( 8 + 4 = 12 \)). So equation: \( 8 + G = 12 \). Solve for \( G \): \( G = 12 - 8 = 4 \). Wait, but the handwritten \( 48 = 64 \) is unclear. Alternatively, maybe the total is 12, so:

Step1: Define the equation

Let \( G \) = Gage's cards. Ryan: 8, Total: 12 (assuming). So \( 8 + G = 12 \).

Step2: Solve for G

\( G = 12 - 8 = 4 \).

Wait, maybe the total is 12, so Gage has 4. Alternatively, if the total is 12, then:

Step1: Set up the addition equation

Let \( G \) represent the number of cards Gage started with. Ryan has 8, and together they have a total (let's assume total is 12, from the context). So the equation is \( 8 + G = 12 \).

Step2: Solve for \( G \)

Subtract 8 from both sides: \( G = 12 - 8 = 4 \).

Answer:

Gage started with 4 pokemon cards. The addition equation is \( 8 + 4 = 12 \) (or \( 8 + G = 12 \), solving \( G = 4 \)).