1988 AMC 8 第 23 题

先试着解答 1988 AMC 8 第 23 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1988 AMC 8 解答,或核对答案

所有题目均经美国数学协会(MAA)官方合法授权使用。

23.

Maria 以每 44 张 $5 的价格买入电脑磁盘,并以每 33 张 $5 的价格卖出。她必须卖出多少张电脑磁盘,才能获利 $100?

Maria buys computer disks at a price of 44 for $5 and sells them at a price of 33 for $5. How many computer disks must she sell in order to make a profit of $100?

100100

120120

200200

240240

12001200

答案:D
知识点:比与比例
难度评级:1110
解答:

按打计算磁盘,因为 1212 同时是 4433 的倍数。一打磁盘买入需 3×$5=$153 \times \$5 = \$15,卖出可得 4×$5=$204 \times \$5 = \$20,每打利润为 $5。

要获利 $100,她需要 1005=20\dfrac{100}{5} = 20 打,也就是 20×12=24020 \times 12 = 240 张磁盘。

所以正确答案是 D

Consider disks in dozens, since 1212 is a multiple of both 44 and 3.3. A dozen disks costs 3×$5=$153 \times \$5 = \$15 to buy and sells for 4×$5=$20,4 \times \$5 = \$20, for a profit of $5 per dozen.

To make $100 profit she needs 1005=20\dfrac{100}{5} = 20 dozen, which is 20×12=24020 \times 12 = 240 disks.

Thus, the correct answer is D .

← 第 22 题#22
完整试卷

其他年份的第 23 题

1985 AMC 8 · 1986 AMC 8 · 1987 AMC 8 · 1989 AMC 8 · 1990 AMC 8 · 1991 AMC 8 · 1992 AMC 8 · 1993 AMC 8 · 1994 AMC 8 · 1995 AMC 8 · 1996 AMC 8 · 1997 AMC 8 · 1998 AMC 8 · 1999 AMC 8 · 2000 AMC 8 · 2001 AMC 8 · 2002 AMC 8 · 2003 AMC 8 · 2004 AMC 8 · 2005 AMC 8 · 2006 AMC 8 · 2007 AMC 8 · 2008 AMC 8 · 2009 AMC 8 · 2010 AMC 8 · 2011 AMC 8 · 2012 AMC 8 · 2013 AMC 8 · 2014 AMC 8 · 2015 AMC 8 · 2016 AMC 8 · 2017 AMC 8 · 2018 AMC 8 · 2019 AMC 8 · 2020 AMC 8 · 2022 AMC 8 · 2023 AMC 8 · 2024 AMC 8 · 2025 AMC 8 · 2026 AMC 8