#1.Terry invested a total of $4500.A portion was invested at 4% and the rest was invested at 6%.The amount of Terry’s annual return on each portion is the same.Find the average rate of interest Terry earned on the $4500.#2.In September,Poar Bay Win

#1.Terry invested a total of $4500.A portion was invested at 4% and the rest was invested at 6%.The amount of Terry’s annual return on each portion is the same.Find the average rate of interest Terry earned on the $4500.#2.In September,Poar Bay Win
#1.Terry invested a total of $4500.A portion was invested at 4% and the rest was invested at 6%.The amount of Terry’s annual return on each portion is the same.Find the average rate of interest Terry earned on the $4500.
#2.In September,Poar Bay Wines had a net revenue of $574.56 from the sale of 3216 new wine bottles less the refund paid for 1824 returned bottles.In October,net revenue was $944.88 from the sale of 5208 bottles less the refund paid on 2232 returned bottles.How much did polar Bay Wines charge per new wine bottle and how much was the refund for each returned bottle?
In checking the petty cash a clerk counts “q”quarters,“d”dimes,“n”nickels,and “p”pennies.Later he discovers that X of the nickels were counted as quarters and X of the dimes were counted as pennies.(Assume that X represents the same number of nickels and dimes.) What must the clerk do to correct the original total?

#1.Terry invested a total of $4500.A portion was invested at 4% and the rest was invested at 6%.The amount of Terry’s annual return on each portion is the same.Find the average rate of interest Terry earned on the $4500.#2.In September,Poar Bay Win
1、presume that terry invested x at 4%,and 4500-x at 6%
so x*4%=(4500-x)*6%
x=2700
the total return=2700*4%*2=216
so,the average rate of interest=216/4500*100%=4.8%
2、let x=price of each new bottle,and y=refund paid for each returned bottle
3216*x-1824*y=574.56
5208*x-2232*y=944.88
x=0.19,y=0.02
3、i am not pretty sure about the following conversions
1 dollar = 4 quarters = 10 dimes = 20 nickles = 100 pennies
use these conversions to figure out the result
1 quarter = 5 nickles,so the clerk should cut 4X nickles from the amount
1 diam = 10 pennies,so the clerk should add 9X pennies
and 1 nickle = 5 pennies,less 4X nickles = 20X pennies,then plus 9X pennies
so,the clerk need to cut down 4X*5-9X=11X pennies from the amount to get the correct total

第一题是说terry有$4500的投资，分别投在利润率4%和6%上，一直两部分利润数值相等，求平均利润率。
因为利率为4：6，而数值相等，故投资数额比率为6：4
那么平均利率=（0.6a*4% + 0.4a*6%）/a
=0.48%
第二题是说九月份卖了3216新酒瓶，为1824个退回的旧瓶退钱，最后赚了574.56
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第一题是说terry有$4500的投资，分别投在利润率4%和6%上，一直两部分利润数值相等，求平均利润率。
因为利率为4：6，而数值相等，故投资数额比率为6：4
那么平均利率=（0.6a*4% + 0.4a*6%）/a
=0.48%
第二题是说九月份卖了3216新酒瓶，为1824个退回的旧瓶退钱，最后赚了574.56
十月份卖了5208新酒瓶，为2232个退回的旧瓶退钱，最后赚了944.88
求新酒瓶多少钱，旧酒瓶多少钱？
简单的二元一次方程
3216a-1824b=574.56
5208a-2232b=944.88
解之得
a=0.19
b=0.02
第三题是说一个收银员，数钱，共有q个quarters, d个dimes, n个nickels, 和p个pennies，然后他发现自己把X个nickel数成了quarter，把X个dime数成了penny，最后问他应该如何改正原总数。
查了一下，
quarter->25分
dime ->10分
nickels->5分
penny ->1分
所以他多数了X(25-5)+X(1-10)=11X分
所以他应该从总数减去11X分

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