PP2-PS-Q21

[mupeane]

21. 2988-!-item-!-187;#058&003110
A company wants to buy computers and printers for a new branch office, and the number of computers can be at most 3 times the number of printers. Computers cost $1,500 each, and printers cost $300 each. What is the greatest number of computers that the company can buy if it has a total of $9,100 to spend on computers and printers?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

ANS:D

請大家幫幫忙喔

[小花]

一開始做這題也想不通
後來想這句話的意思是
the number of computers can be at most 3 times the number of printers
電腦的數量最多只能是列表機的3倍
換句話說 2倍 ,1倍都在題目給的條件之內


題目問電腦最多的情況
5台電腦 5台列表機
1500*5+300*5=9000(9100之內)

個人對這一題的看法
也許其他人有更好的解釋

[rt62]

21. 2988-!-item-!-187;#058&003110
A company wants to buy computers and printers for a new branch office, and the number of computers can be at most 3 times the number of printers. Computers cost $1,500 each, and printers cost $300 each. What is the greatest number of computers that the company can buy if it has a total of $9,100 to spend on computers and printers?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

ANS:D
－－－－－－－－－－－－－－－－－－－－－－－－
請問用以下觀念來看合理嗎?(同樓上先進的觀點)
因為問題求在有限的金額下($9100)可以買到最多數量的PC是多少?限制條件是:the number of computers can be at most 3 times the number of printers. C#< or = 3P#
輔助條件是:C$=1500 and P$=300

所以,C$*n(C的數量)<9100 --->n=6(不合理,因為沒錢買Printer)--->n=5(花了$7500,餘1600(可以買5台printer))--->滿足所有條件