Question

Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 233 baseball cards and collects 5 cards per week. After about how many weeks will Ryan and Sarah have the same number of cards?​

Answer 1

Answer:

About 17 weeks

Step-by-step explanation:

Given

Ryan:

$Initial = 150$

$Additional = 10$ (weekly)

Sarah:

$Initial = 233$

$Additional = 5$ (weekly)

Required

Determine the number of weeks they have the same cards

Represent the number of weeks with w:

For Both individuals, number of card at any given week is:

$Initial + Additional * w$

So,

For Ryan, the expression is:

$150 + 10 * w$

$150 + 10w$

For Sarah, the expression is:

$233 + 5 * w$

$233 + 5 w$

To determine the number of weeks, we have to equate both equations:

$150 + 10w= 233 + 5 w$

Collect Like Terms

$10w - 5w = 233 - 150$

$5w = 83$

Solve for w

$w = 83/5$

$w = 16.6$

16.6 implies about 17 weeks, because 16.6 approximates to 17

Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks