Question

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?

Answer 1

It will be after 13 weeks.

Answer 2

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

Explanation:

Let n be the required number of weeks after which Vicki and Jeb have the same number of baseball cards.

The number of cards Vicki will buy after n weeks = 210 + 15n

The number of cards Jeb will buy after n weeks = 275 + 10n

Since, these are equal,

210 + 15n = 275 + 10n

15n - 10n = 275 - 210

5n = 65

Divide both sides by 5.

n = 13.

Hence, after 13 weeks, Vicki and Jeb will have the same number of baseball cards.