139k views
2 votes
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?​

1 Answer

2 votes

Answer:

About 17 weeks

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

User Kaunteya
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories