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Gala2k [10]
3 years ago
12

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?​
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

Answer:

About 17 weeks

Step-by-step explanation:

Given

Ryan:

Initial = 150

<em />Additional = 10<em> (weekly)</em>

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

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

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