英语翻译1.Usingonlypennies,nickels,dimes,andquarters,whatisthesmallestnumberofcoinsFreddiewouldneedsohecouldpayanyamountofmoneylessthanonedollar?2.Thelengthsofthesidesofatriangleininchesarethreeconsecutiveinte

Question

英语翻译
1.Using only pennies,nickels,dimes,and quarters,what is the smallest number of coins Freddie would need so he could pay any amount of money less than one dollar?
2.The lengths of the sides of a triangle in inches are three consecutive integers.The length of the shorter side is 30% of the perimeter.What is the length of the longest side?

Answer 1

1.在只能用一分的、五分的、十分的和二十五分的硬币的条件下,Freddie 从中需要选择硬币,使得从1美分到99美分都能用这些硬币表示出来?问最少需要多少个硬币?
最少应该需要4个1分的、1个五分的、2个10分的和3个25分的共计10个硬币.
2.一个三角形三边长度为连续的正整数.其中一条边长为总周长的30%,求最长边的长度.
设三边长依次为n、n+1、n+2,即周长C=3n+3,
由其中一条边长为总周长的30%,即不可能为最长边,故可知该边长应为n或n+1,
所以有
n/C=30%或
（n+1）/C=30%
解得n=9或n=-1（不合题意舍去）
故n=9,即最长边长度为为n+2=11.