Vicki has 210 baseball cards and buys an additional 15 cards every week. jeb has 275 baseball cards and buys an additional 10 cards every week. after how many weeks will vicki and jeb have the same number of baseball cards.

After 13 weeks Vicki and Jeb will have the same number of baseball cards.

Step-by-step explanation:

We are given that Vicki has 210 baseball cards and buys an additional 15 cards every week.

Jeb has 275 baseball cards and buys an additional 10 cards every week

Let us assume number of weeks be w.

Total number of cards after w weeks Vicki has = 210+ 15w.

Total number of cards after w weeks Jeb has = 275+ 10w.

When Vicki and Jeb have the same number of baseball cards

210+ 15w = 275+10w.

Subtracting 210 from both sides, we get

210+ 15w-210 = 275+10w-210

15w =10w + 65.

Subtracting 10w on both sides, we get

15w-10w = 10w + 65 -10w

5w = 65

Dividing both sides by 5, we get

w=13.