推荐回答(4个)
1、1角、2角、5角的纸币共100张,价值20元,其中2角纸币比1角纸币多13角。问三种纸币各有几张?
设5角的纸币有x张,2角的纸币有y张,则1角的纸币有100 - x - y张。
价值20元,
5x + 2y + (100-x-y) = 200,
4x + y = 100.
其中2角纸币比1角纸币多13角
2y - 13 = 100 - x - y,
x + 3y = 113.
解得
x = 17, y = 32.
所以,
5角17张;2角32张;1角51张。
2、小明有一些硬币,其中2分硬币比5分硬币多22枚,按钱算5分硬币比2分硬币多4角,另外还有36个1分硬币。问这些硬币的总价值是多少分?
设 小明x枚5分硬币,x+22枚2分硬币。
按钱算5分硬币比2分硬币多4角
5x - 2(x+22) = 40,
3x = 84,
x = 28.
另外还有36个1分硬币,
因此,总价值为
5*28 + 2(28+22) + 36 = 276分
3、班里买了一些4角和8角一张画片,共花34元。已知8角的画片比4角的画片多20张,问两种画片各买了多少张?
设8角的画片买了 x 张,则4角的画片买了 x-20 张。
共花34元,
8x + 4(x-20) = 340
12x = 420
x = 35
所以,
8角画片35张;4角画片15张。
4、鸡兔同笼,鸡比兔多24只,脚数共144只,问鸡兔各几只?
设有兔x只,则有鸡 x+24只。
脚数共144只,
4x + 2(x+24) = 144,
6x = 96
x = 16.
所以,
鸡40只;兔16只。
5、传说九头鸟有9个头和1条尾巴,九尾狐有1个头和9条尾马,现在一共有153个头,177条尾巴,两种动物各有多少只?
设九头鸟 x 只,九围狐 y 只。
现在一共有153个头,
9x + y = 153
一共有177条尾巴,
x + 9y = 177
解得,
x = 15;y = 18.
因此,
九头鸟15只;九尾狐18只。
6、某校购买大、中、小3种型号的投影仪共47台,它们的单价分别是700元、300元、200元,共支出21200元,已知中型投影仪的台数为小型投影仪台数的2倍,问购买了多少台大型投影仪?
设 购买了 x 台大型投影仪, y 台小型投影仪,
则购买了2y 台中型投影仪.
购买大、中、小3种型号的投影仪共47台,
x + 2y + y = x + 3y = 47
它们的单价分别是700元、300元、200元,共支出21200元.
700x + 300(2y) + 200y = 21200,
7x + 8y = 212
解得 x = 20, y = 9.
所以,
购买了20台大型投影仪。
7、某校师生共85人去植树,教师每人栽3棵树,学生平均每3个人载1棵,一共栽95棵,教师和学生各有多少人?
设教师有 x 人,则学生有 85 - x 人。
教师每人栽3棵树,学生平均每3个人载1棵,一共栽95棵,
3x + (85-x)/3 = 95,
8x = 200,
x = 25
所以,
有教师25人;学生60人。
1, 5角17张;2角32张;1角51张。
2,总价值276分。
3,8角画片35张;4角画片15张。
4,鸡40只;兔16只。
5,九头鸟15只;九尾狐18只。
6,20台大型投影仪。
7,教师25人;学生60人。
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