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Xiao Fang bought five boxes of sugar and Xiao Ming bought four boxes of biscuits, which cost 44 yuan. If two people exchange one box for another, the value of two people's goods will be equal. A box of sugar and a box of biscuits How many yuan? Solve it by equation
Set sugar x yuan per box, biscuit (44-5x) / 4 yuan
4X+(44-5X)/4=3*(44-5X)/4+X
3X=2(44-5X)/4
3X=22-2.5X
5.5X=22
X=4
Sugar 4 yuan, biscuit 6 yuan
Xiao Fang bought 5 boxes of sugar and Xiao Ming bought 4 boxes of biscuits for a total of 44 yuan. If two people exchange one box for another, the value of two people's goods will be equal. How much is a box of sugar and a box of biscuits
If we want to solve the equation of one variable, let's just have a function of X
Set: a box of biscuits X Yuan
The equation 22-3x = (22-x) / 4 is given
Multiply both sides of the solution by 4 88-12x = 22-x
88-22＝（11-1）x
10x＝66
x＝6
In the same way, the sugar is 4 yuan per box
Xiao Fang bought five boxes of sugar and Xiao Ming four boxes of biscuits for a total of 44 yuan. If two people exchange one box for another, the value of two people's goods is equal. How much is a box of sugar and a box of biscuits
Let the price of sugar be x and the price of biscuit be y
5x+4y=44
4x+y=3y+x
The solution is x = 4
y=6
Xiao Ming buys five boxes of sugar and Xiao Li four boxes of biscuits, which costs 44 yuan. If two people exchange one box, the price of the goods they buy is equal
Xiao Ming buys five boxes of sugar and Xiao Li four boxes of biscuits, which costs 44 yuan. If two people exchange one box for another, the price of the goods they buy is equal. How much is a box of sugar and a box of biscuits?
Suppose the price of sugar is X Yuan and the price of biscuit is y yuan
According to the meaning of the title:
5x+4y=44
4x+y=3y+x
The solution is as follows
x=4
y=6
Answer: the price of sugar is 4 yuan, the price of biscuit is 6 yuan
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