Mr .Lee owns a tea company and wants to make an exotic blend of tea .he has two brands to mix .one brand is an Indian tea that sells for $3.25 per pound .the other is a chinese tea that sells for $4.00 per pound .if he wants a mix of 35 pounds that w
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Mr .Lee owns a tea company and wants to make an exotic blend of tea .he has two brands to mix .one brand is an Indian tea that sells for $3.25 per pound .the other is a chinese tea that sells for $4.00 per pound .if he wants a mix of 35 pounds that w
Mr .Lee owns a tea company and wants to make an exotic blend of tea .he has two brands to mix .one brand is an Indian tea that sells for $3.25 per pound .the other is a chinese tea that sells for $4.00 per pound .if he wants a mix of 35 pounds that will sell for $3.70 a pound ,how many pounds of each should he mix
Mr .Lee owns a tea company and wants to make an exotic blend of tea .he has two brands to mix .one brand is an Indian tea that sells for $3.25 per pound .the other is a chinese tea that sells for $4.00 per pound .if he wants a mix of 35 pounds that w
题意如下：Lee先生有一家茶工厂并想要做一种外国风味的茶.他有两种茶用于混合.一种是印度茶,每磅3.25美元.另一种是中国茶,每磅4美元.如果她想要混合出35磅的茶,每磅卖3.7美元,他需要每种茶取多少磅?
解法如下：设取印度茶x磅,则中国茶是(35-x)磅
3.25*x+4*(35-x)=3.7*35
0.75x=4*35-3.7*35=0.3*35=10.5
x=3.5*4=14
因此取印度茶14磅,中国茶21磅
3.7-3.25=0.45
4-3.7=0.3
0.45:0.3=3:2
so, the first tea 14 pounds, the second tea 21 pounds
set Indian tea x pounds, Chinese tea y pounds
then, x+y=35 and 3.25*x+4*y=3.7*35
x=14, y=21
假设混合印第安茶x磅，中国茶y磅 x+y=35 3.25x+4y=3.7*35 y=35-x, 3.25x+4(35-x)=3.7*35 0.3*35=0.75*x x=14,y=21
设：3.25/pound 的需用Y pounds,则：
3.25 x Y + 4.00 x (35 - Y) = 35 x 3.70
解方程得出：
Y = 14
35 - Y = 21
每磅3.25美元的用14磅，每磅 4.00美元的用21磅。
SOLUTION
SUPOSE: Indian tea - x pounds， China tea -y pounds
so x+y=35, and
3.25x+4.00y=3.70×35
thus x=14,y=21
chinese tea x pound, Indian tea (35-x)
4x+3.25(35-x)=3.7*35
4x-3.25x=129.5-113.75
0.75x=15.75
x=21
chinese tea21 pound Indian tea14 pound