Question

一道sat数学真题``帮忙翻译解答一下~谢谢！

A fitness center purchased a number of exercise machines: 4 costing $1700 each, 8 costing $1300 each, and x costing $1200 each, where x is a positive odd integer. If the median price for all the exercise machined purchased by the fitness center was $1300, what is the greatest possible value of x?

这是08年1月的真题``答案是11。请帮我翻译题目，并写出如何解答的步骤。我知道这题应该不难``只是不知道哪里搞错就是得不出11这个答案。

再次感谢！
我的答案也是16！~但这是真题、应该不会有这种问题的```

Answer 1

my answer is 16 which is definitely not in accordance with condition"positive odd integer." hope someone else can work it out...

I get it.we misunderstood the meaning of median price ,it doesn't mean everage price.this particular question seems like Statistics question.
the answer:
possible A1:
1700 1700 1700 1700 1300 1300 (1300) 1300 1300 1300 1300 1300 1300 x=0 minimum
1700 1700 1700 1700 1300 1300 %1300% 1300 1300 1300 1300 1300 1200 x=1
.............................................................................
1700 1700 1700 1700 1300 1300 1300 1300 1300 1300 1300 %1300% 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 up to x=11

It's not a simple algebra question but a easy Statistics question!!

Answer 2

一共有12+x部机器，机器价格的中位数是1300，所以4<=x<=11,所以x最大值为11