Solution: Let the number of A be x and the number of B be (32-x).
3X+(32-X)×5= 122
3X+ 160-5X= 122
2X=38
X= 19
32-X=32- 19= 13
A: The number A is 19 and the number B is 13.
My brother has 17 yuan money, and my brother has 25 yuan money. How much does brother give his brother, and his money is twice that of his brother?
Solution: After my brother gave my brother X yuan, my brother's money was twice that of my brother.
(25-X)×2= 17+X
50-2X= 17+X
3X=33
X= 1 1
Answer: After my brother gave my brother 1 1 yuan, my brother's money was twice that of my brother.
There are two ropes, the length of which is 1 times longer than the short one. Now, if you cut each rope by 6 cents, the long rope will be twice as long as the short one. Q: What are the original lengths of these two ropes?
1+ 1=2
1+2=3
Solution: Let the original short rope be x decimeters long and the long rope be 2X decimeters long.
(X-6)×3=2X-6
3X- 18=2X-6
X= 12
2X=2× 12=24
Answer: It turns out that the short rope is 12 decimeter long and the long rope is 24 decimeters long.
There are three baskets of apples: large, medium and small. The small basket contains half of the middle basket, the middle basket is less than the big basket by 16 kg, and the big basket contains four times as many apples. There are many kilograms of apples in the big, medium and small baskets.
Solution: Set up a small basket with X kilograms of apples in it.
4X=2X+ 16
2X= 16
X=8
8×2= 16 (kg)
8× 4 = 32kg
A: The small basket contains 8kg apples, the middle basket contains16kg apples, and the big basket contains 32kg apples.
30 coins, consisting of 2 cents and 5 cents, are worth 9.9 cents. How many coins are there in each?
99 cents and 9 cents =99 cents
Solution: Suppose there are X nickels and (30-x) nickels.
2X+5×(30-X)=99
2X+ 150-5X=99
3X=5 1
X= 17
30-X=30- 17= 13
A: There are 17 nickels and 13 nickels.
When handling 100 glass bottles, it is stipulated that the handling fee is 3 points, but if a glass bottle is broken, it will not be handled, and it will cost 5 points. After shipment, you need to pay 2.60 yuan. How many glasses were broken during handling?
2.60 yuan =260 points
Solution: Assume that the X-piece is damaged during handling.
3×( 100-X)-5X=260
300-3X-5X=260
8X=40
X=5
A: Five of them were broken during handling.
The fifth-grade students in Jinghua Primary School collected specimens, including 25 insect specimens, 9 plant specimens/kloc-0, 8 two specimens, and 40 students in the whole class. How many people didn't collect specimens?
Solution: suppose there are x people who have not collected specimens.
25+ 19-8+X=40
36+X=40
X=4
A: Four people didn't collect specimens.
A four-digit number, the highest digit is 7. If you move this number to the last place and the rest of the digits move in turn, this number will be reduced by 864, and these four digits will be found.
Solution: Let the last three digits of four digits be X.
7000+X= 10X+7+864
9X=6 129
X=68 1
7000+68 1=768 1
A: These four digits are 768 1.
A car leaves from A to B, which is 300 kilometers away. Before 120 km, with an average speed of 40 km/h. If the average speed of this car from A to B is 50 kilometers per hour, what speed should it travel for the rest of the journey?
300÷50=6 (hours)
120÷40=3 (hours)
Solution: Suppose the remaining distance is X kilometers per hour.
120+(6-3)X=300
120+3X=300
3X= 180
X=60
A: The remaining distance is 60 kilometers per hour.