2007 AMC 8 第 1 题

先试着解答 2007 AMC 8 第 1 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 2007 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。

1.

Theresa 的父母同意,如果她连续 66 周平均每周花 1010 小时帮忙做家务,就给她买票去看她最喜欢的乐队。前 55 周她分别帮忙 8811117712,12,1010 小时。为了得到门票,最后一周她必须工作多少小时?

Theresa's parents have agreed to buy her tickets to see her favorite band if she spends an average of 1010 hours per week helping around the house for 66 weeks. For the first 55 weeks she helps around the house for 8,8, 11,11, 7,7, 1212 and 1010 hours. How many hours must she work for the final week to earn the tickets?

99

1010

1111

1212

1313

答案:D
知识点:平均数
难度评级:560
解答:

55 周 Theresa 总共工作 8+11+7+12+10=488+11+7+12+10=48 小时。

她承诺总共工作 106=6010\cdot 6=60 小时。

因此她最后一周必须工作 6048=1260-48=12 小时才能得到门票。

所以正确答案是 D

During the first 55 weeks, Theresa works for a total of 8+11+7+12+10=488+11+7+12+10=48 hours.

She promised to work 106=6010\cdot 6=60 hours in all.

This means that she has to work 6048=1260-48=12 hours during the final week to earn the tickets.

Thus, D is the correct answer.

完整试卷

其他年份的第 1 题

1985 AMC 8 · 1986 AMC 8 · 1987 AMC 8 · 1988 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 · 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