How many days does it take to save $60 with a pattern of earning and spending?

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Discussion Overview

The discussion revolves around a mathematical problem involving a man's pattern of earning and spending money, specifically how many days it will take for him to save $60 given his earnings and expenditures. The scope includes homework-related mathematical reasoning.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • Some participants outline the man's earning and spending pattern, noting that he earns $20 on the first day and spends $15 on the second day, repeating this cycle.
  • One participant calculates that after 16 days, he will have saved $40, and on the 17th day, he will earn an additional $20, reaching a total of $60.
  • Another participant suggests dividing the total savings goal of $60 by the amount saved every two days ($5) to determine the number of periods required.
  • One participant emphasizes the importance of showing previous attempts and where one is stuck to facilitate better assistance.

Areas of Agreement / Disagreement

There is a general agreement among participants that the answer is 17 days, but the methods to arrive at this conclusion vary, indicating some differences in reasoning and calculation approaches.

Contextual Notes

Some participants mention specific calculations and assumptions about the savings pattern, but there are no explicit corrections or resolutions to the differing methods presented.

Who May Find This Useful

Students seeking help with mathematical homework related to savings and expenditures, as well as those interested in understanding patterns in earning and spending.

burgess
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Help required to solve my math home work

A man earns \$20 on first day and spends \$15 on next day, again earns \$20 on third day and spends \$15 on fourth day. If he continues to save like this, how soon he will have \$60 on his hand?

Thanks in advance
 
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burgess said:
Help required to solve my math home work

A man earns 20$ on first day and spends 15$ on next day, again earns 20$ on third day and spends 15$ on fourth day. If he continues to save like this, how soon he will have 60$ on his hand?

Thanks in advance

For every 2 days he makes 20 and spends 5 so he has 15

so after 16 days he shall have 40

on the 17th day he gets 20 so he shall have 60
 
burgess said:
Help required to solve my math home work

A man earns 20\$ on first day and spends 15\$ on next day, again earns 20$ on third day and spends 15\$ on fourth day. If he continues to save like this, how soon he will have 60\$ on his hand?

Thanks in advance

Consider day 1 and day 2:

day 1: [math]+20\$[/math]

day 2: [math]-15\$[/math]

Thus by the end of day 2 he has $$20-15 = \$5$$ saved.

To find the amount of periods (which are 2 days remember) divide 60 by 5.

Also a note on LaTeX: If you put a backslash (\) before a dollar sign it escapes it so the board does not consider it to be LaTeX - Quote this post to see how I've done it.
 
burgess said:
Help required to solve my math home work

A man earns \$20 on first day and spends \$15 on next day, again earns \$20 on third day and spends \$15 on fourth day. If he continues to save like this, how soon he will have \$60 on his hand?

Thanks in advance

In order for our helpers to most effectively provide help to you, we ask that you show what you have tried and where you are stuck. This way we can see what you may be doing wrong and explain why it doesn't work. :D
 
Thank you all for your replies
 
Answer is 17 days I think, because on 16 days he/she has 40 and on next one day he has 20 extra, so it becomes 60 in 17 days.

-Tim
<link removed by administrator>
 

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