SOLUTION: 6. At the beginning of June, Max and Sean start saving money for the fair, which occurs 10 weeks later. Sean starts out with $20 and saves just $2 per week. Max starts out with no

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Question 1094213: 6. At the beginning of June, Max and Sean start saving money for the fair, which occurs 10 weeks later. Sean starts out with $20 and saves just $2 per week. Max starts out with no money, but saves 5 dollars per week. After how many weeks will Max have more money saved than Sean? Explain how you found your answer.
Found 3 solutions by Gentle Phill, MathTherapy, josgarithmetic:
Answer by Gentle Phill(18)   (Show Source): You can put this solution on YOUR website!
First, let's observe the point (or week) when their amount equal.
Let's call that week 'x'
.
Sean => $20 + $2x
Max = $5x
.
When Sean's = Max's
.
$20 + $2x = $5x
.
$5x - $2x = $20
.
$3x = $20
.
x = 20/3 = 6.6667
.
Their amount equalled at week 6.6667. So by 7th week Max's savings should be greater.
.
.
.
Your friend,
Francis.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

6. At the beginning of June, Max and Sean start saving money for the fair, which occurs 10 weeks later. Sean starts out with $20 and saves just $2 per week. Max starts out with no money, but saves 5 dollars per week. After how many weeks will Max have more money saved than Sean? Explain how you found your answer.
 

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
At the very lowest level:

weeks                 Max     Saun
 0                    0       20
 1                    5       22
 2                    10      24
 3                    15      26
 4                    20      28
 5                    25      30
 6                    30      32
 7                    35      34

Max will have more money than Saun after 7 weeks.

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