On one occasion, Xiao Ming brought a basket of yamanashi from the mountains. He called Xiaogang and Xiao Qiang and said to them, "I'll give you some pears first, and the rest is mine." So, he gave half a yamanashi to Xiaogang, and then added 1 to Xiaogang. Then, he gave the remaining half to Xiao Qiang, added 1 to Xiao Qiang, and finally left five yamanashi for himself. How many yamanashi are there in a * *?
Three ships, A, B and C, transported 9400 cases. Ship A shipped 300 cases more than ship B, and ship C shipped 200 cases less than ship B ... How many cases do you want each of the three ships to carry?
4. Three groups 180 people. The sum of the number of people in the first and second groups is 20 more than that in the third group, and the first group is 2 less than that in the second group. Find the number of people in the first group.
5. Bonuses are divided into first prize, second prize and third prize. The bonus of each first prize is twice that of each second prize, and the bonus of each second prize is twice that of each third prize. There are two people in the first, second and third prizes, and each first prize is 308 yuan; If there are/kloc-0 first prize, 2 second prizes and 3 third prizes, what is the bonus of the first prize?
6. Divide 1296 into four numbers: A, B, C and D. If A adds 2, B subtracts 2, C multiplies 2, and D divides 2, the four numbers are equal. What are these four numbers?
7. A county held a long-distance race, and the athletes ran 3 kilometers from the starting point and returned to the starting point. Some athletes run 3 10 meters per minute, and the last athlete runs 290 meters per minute. Two athletes met a few minutes after the start of the game. How many meters before the return point when we meet?
Detailed explanation of the answer
1, 1. We assume that 100 seats in 60 yuan are all sold out, and those in 40 yuan will be sold for (15000- 100×60) yuan. That's 9000 yuan.
The quotient of 9000÷40=225 is not an integer of 10.
If 90 seats are sold for 65,438+000 seats at 2.60 yuan, then the seats in 40 yuan will be sold for (65,438+05,000-90× 60) yuan. That's 9600 yuan.
The quotient of 9600÷40=240 is 10.
So: 60 yuan sold 90 copies and 40 yuan sold 240 copies.
2. The number of Xiaoming pears+Xiao Qiang pears+Xiaogang pears = the total number of pears.
5+(5+2)+(5+5+2+2)= the total number of pears.
3. Freight volume of Party B +300= freight volume of Party A..
Freight volume of B ship-200 = freight volume of C ship.
(9400-300+200)÷3 +300= the cargo volume of a ship.
Freight volume of B ship-200 = freight volume of C ship.
4. Half of the sum of the first group and the second group-1 = the number of the first group.
(180+20)÷2- 1= the number of the first group.
5. Redistribute the total bonus: (according to the third prize)
First prize 1 piece = 4 third prizes; One second prize = two third prizes.
Total prize number ÷ third prize number = third prize bonus.
Third prize bonus ×2×2= first prize bonus.
[(308 ÷ 2 ÷ 2) × (2× 2+2× 2+2)] ÷ (1× 2× 2+2+3) = third prize.
Third prize bonus ×2×2= first prize bonus.
6. One number =2 C numbers +2. B number =2 C number -2. Ding number =2 c numbers ×2.
1296÷(2 c numbers +2 c numbers -2+ 1 c numbers +2 c numbers ×2)= c number.
Namely:1296 \ (2+2+1+4) = C.
One number =2 C numbers +2 = ... The same is true. ...
7. The distance between the starting point and the starting point-the distance run by the last athlete = the distance between the meeting point and the return point.
The distance between the starting point and the starting point is 3 kilometers.
Distance run by the last athlete =290× time spent by the last athlete.
Time spent by the last athlete (3000+3000)÷(3 10+290)
Namely: 3000-290× [(3000+3000) ÷ (310+290)]
=3000-290× 10
=3000-2900
= 100 (m)