10x+4y+(9-x-y)*3=52
Pack up, take it
7x+y=25
The integer solution of (x, y) is: (1, 18), (2, 1 1), (3,4).
Because x+y
2. There are X bikes and 36-x tricycles.
2x+3*(36-x)=89
Solution, x= 19
So there are 19 bicycles and 36- 19 tricycles = 17.
3. do right for x and wrong for y.
3x-2y=50
3x=50+2y
x= 16+2/3*( 1+y)
Since both x and y are integers, y+ 1 must be a multiple of 3.
The integer solutions of (x, y) are: (18,2), (20,5), (22,8), ...
Because x+y≤20, the solution of this problem is:18,2.
4. Set Hag X and Nezha y.
X+3y=36 gives x=6.
8x+6y= 108 y= 10
So, Hag 6, Nezha 10.
5, don't understand the equation:
Analysis: Add 1Kg to pour out half of the original, which is equivalent to only 1/2, and then pour in 1Kg, which is equivalent to 3/5 of the original. This extra part (3/5- 1/2) is the ratio of 1Kg.
The original weight of wine is:1/(3/5-1/2) =10 kg.
6、
Mango seen by the prince: 3/( 1- 1/2)=6.
2 Mango seen by the prince: 6/( 1- 1/3)=9.
Mango seen by the big prince: 9/(1-1/4) =12.
Mango seen by the Queen:12/(1-kloc-0//5) =15.
Mango seen by the king:15/(1-kloc-0//6) =18.
So the total number of mangoes is 18.
7、
144 * 29/ 143 = ( 143+ 1) * 29/ 143 = 143 * 29/ 143+29/65438.
18/(2/9+ 1/6)= 18/(7/ 18)=324/7