A Young math teacher needed to make a little exrta money to support his family. To do this, he sold items during seasonla months. He buys a lot and starts the business with an ample amount of money in his pocket.
In Oct, the math teacher doubled hs money selling pumpkins. But, he had to spend $3000 setting up his stand and paying taxes
In Nov, he tripled his money selling turkeys. But, he had to spend 5400 on taxes.
In Dec, he quadrupeled his money by selling trees. But, he had to spend 7200 on taxes.
When the teacher came home he had $4800 in his pocket from the 3 months business. Was his wife happy or sad depending upon weather or not he made a profit?
1) How much money did he start out with?
2) How much did he gain or lose during the three holiday season?
3) Was his lovely wife happy or sad when he returned home with $4800 in his pocket at the end of Dec?
please please explain your answer. i REALLY need helpwith this!!
2007-12-28 11:51:06 · 2 answers · asked by taylor_travers098 2 in Science & Mathematics ➔ Mathematics
He started with an amount of money that we'll call x. That means that after October, he had 2x - 3000. After November, he has 3*(2x - 3000) - 5400. After December, he had 4*(3*(2x - 3000) - 5400) - 7200. Set that equal to 4800 and solve for x, and then use the value for x to show exactly what happened each month and to determine if 4800 is greater than or less than x.
2007-12-28 11:57:28 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋
Working backwards:
4800+7200 = 12000 .
12000/4 = 3000
3000 + 5400 = 8400
8400 / 3 = 2800
2800 + 3000 = 5800
5800/2 = 2900
He started with $2900.
4800 - 2900 = 1900
He gained $1900 during the holiday season.
I can't really say if his wife thought that was good or not -- most people would think it wasn't enough!
that's it! :)
2007-12-28 19:59:23 · answer #2 · answered by Marley K 7 · 0⤊ 0⤋