Question

two students collect baseball cards. shushu has 210 cards, and vivak has 160 cards. shushu adds 8 new cards to her collection each month, and vivak adds 13 new cards each month. after how many months will they have the same number of baseball cards?
let m represent the number of months. select the correct values to write an equation to represent the situation.
shushu
select choice + select choice m
=
vivak
select choice + select choice m
part b
solve the equation. after how many months will they have the same number of baseball cards?
____ months

Explanation:

Step1: Define Variables and Equations

Let \( m \) be the number of months. Shushu's total cards: \( 210 + 8m \). Vivak's total cards: \( 160 + 13m \). Set equal: \( 210 + 8m = 160 + 13m \).

Step2: Solve for \( m \)

Subtract \( 8m \) from both sides: \( 210 = 160 + 5m \). Subtract 160: \( 50 = 5m \). Divide by 5: \( m = 10 \).

Answer:

10