Question 913895
Currently, you have $160, and your brother has $290. You decide to save $6 of your allowance each week, while your brother spends $7 of his allowance each week. How long will it be before you have as much money as your brother?
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Let x = number of weeks


You have $160 and you are saving $6 a week. So after x weeks, you'll have 160+6x dollars.


Your brother has $290 and he's spending $7 a week. After x weeks, he will have 290-7x dollars


Set the two expressions equal to each other and solve for x.


<pre>
	160+6x = 290 - 7x


	160+6x+7x = 290


	6x+7x = 290-160


	13x = 130


	x = 130/13


	x = 10
</pre>


In 10 weeks, ie at week x = 10, you and your brother will have the same amount of money.


Both of you will have 160+6*10 = 160+60 = 220 dollars


Let me know if you need more help or if you need me to explain a step in more detail.
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Thanks,


Jim