1 Party A and Party B deposit ***9600 yuan in the bank. If 40% of the deposit is withdrawn respectively, 120 yuan will be withdrawn from Party A's deposit and given to Party B. At this time, both of them have equal money, and a deposit of B is required.
9600× (1-40%) = 5760 (yuan) 5760 ÷ 2+ 120 = 3000 (yuan) 3000 ÷ (1-40%) = 5000 (.
Xiaoming and Xiao Liang each have some glass balls. Xiao Ming said, "Your balls are less than mine 1/4!" Xiao Liang said, "If you can give me your 1/6, I will have two more than you." How many original glass balls does Xiaoming have?
4 * 1/6 = 2/34-2/3 = 3 and 1/3 (number of copies) 3+2/3 = 3 and 2/3 (number of copies) 3 * 2 = 6 (pieces)
4 * 6 = 24 (pieces)
3 A needs 65,438+00 hours, B needs 65,438+02 hours, and C needs 65,438+05 hours. Under the same conditions of warehouses A and B, A starts to carry goods in warehouses A and B at the same time, and C starts to help A, and then turns to help B in the middle. Finally, the goods in the two warehouses move at the same time. Ask C how long it will take to help A and B.
60 × 2÷(6+ 5+ 4)= 8 (hours) (60- 6× 8)÷ 4= 3 (hours) (60- 5× 8)÷4= 5 (hours).
4 If a job was completed by Party A alone for 72 days, and now Party A has done 1 day, then Party B will join the job, and after two days of cooperation, Party C will also work together, and three people will cooperate for four days, and all the work will be completed 1/3. After eight days, 5/6 of all the work will be completed. If the rest of the work is done by Party C alone, how many days will it take?
5/6- 1/3= 1/2 1/2÷8= 1/ 16, 1/ 16× 4 = 1/4 1/4 = 1/ 12 [ 1/ 12]
A: It will take another six days.
In stock trading, stamp duty and commission (usually referring to handling fee) must be paid at the ratio of 1% and 2% of the transaction amount. Lao Wang bought 3,000 shares of a technology stock at the price of 10.65 yuan on October 8, and sold all these shares at the price of 13.86 yuan on June 26. How much did Lao Wang earn by selling this stock?
10.65 *1%= 0.1065 (yuan)10.65 * 2% = 0.210.1065+0.26435.
0.1386+0.2772 = 0.415813.86+0.4158 =14.2758 (yuan)14.2758.
A: Lao Wang earned 3.3063 yuan by selling this stock.
A project was originally planned to be completed by 40 people 15 days. How many people do you need if you want to finish it three days in advance?
Solution: Suppose you need to add X people.
(40+x)( 15-3)=40* 15
x= 10
A: So it is necessary to increase 10.
There is a batch of goods in the warehouse, and the mass ratio of the transported goods to the remaining goods is 2: 7. If 64 tons are transported again, the remaining goods are only three-fifths of the original goods in the warehouse. How many tons of original goods are there in the warehouse?
Solution: 1 transportation: 2/(2+7)=2/9.
64/( 1-2/9-3/5)=360 tons.
A: There were 360 tons of goods in the original warehouse.
The ratio of qualified people to unqualified people before Yucai Primary School was 3: 5. Later, 60 students reached the standard. At this time, the qualified number is 9/ 1 1 of the unqualified number. How many students are there in Yucai Primary School?
3÷(3+5)=3/8
9/ 1 1÷( 1+9/ 1 1)=9/20
60 ÷ (9/20-3/8) = 800 people
Party A and Party B have jointly completed 242 machine parts. A it takes 6 minutes to make a part, and B it takes 5 minutes to make a part. When they finished this batch of parts, how many parts did each of them make?
Suppose A made X, and then B made (242-X).
6X=5(242-X)
X= 1 10
242-110 =132 (piece)
A: A did 1 10, and B did 132.
10 A, B and C villages jointly built a canal. After completion, the irrigation area ratio of villages A, B and C is 8: 7: 5. Originally, the three villages planned to send labor according to the ratio of irrigation area. Later, because village C could not spare the labor, through consultation, the labor that village C should spare was shared by villages A and B, and village C paid to villages A and B 1350 yuan. As a result, a village *
8+7+5=20 copies (60+40)÷20=5 people 8×5=40 people 60-40=20 people 7×5=35 people 40-35=5 people 5×5=25 people 20+5=25 people 1350.
Harry Potter took part in the math contest, and he got 68 points. The standard of grading is: 20 points for each pair and 6 points for each mistake. It is known that he did twice as many right questions as wrong questions, and he did all the questions. How many questions are there in this test paper?
Solution: Suppose Harry Potter answered the 2X question correctly and the X question incorrectly.
20×2X-6X=68
40X-6X=68
34X=68
X=2
Correct answer: 2×2=4 questions * * Yes: 4+2=6 questions.
12 There are two piles of sand in the construction site, one pile is 85 tons more than the other. After each pile of sand is used up to 30 tons, the remaining pile is twice as large as the other pile. How many tons are there in each pile of sand?
If two piles are x tons, then one pile is X+85 tons.
X+85-30=2(X-30)
X= 1 15(2 piles)
X+85 =115+85 = 200 (1heap)
A squadron of Young Pioneers went camping. The cook asked how many people were there. The squadron leader replied: one person has a bowl, two people have a bowl of vegetables, and three people have a bowl of soup. You have 55 bowls here. How many people do you count?
There are x people
x+x/2+x/3=55
x=30
14 The school bought 840 books and distributed them to the senior, middle and junior grades. The senior grade is twice as high as the junior grade, and the middle grade is three times as high as the junior grade. There are 120 books. How many books are there for each of the three grades?
If the lower grade gets X books, the higher grade gets 2x books and the middle grade gets (3x- 120) books.
x+2x+3x- 120=840
6x- 120=840
6x=840+ 120
6x=960
x=960/6
x= 160
Senior grade: 160*2=320 (Ben); Mid range: 160*3- 120=360 (Ben).
Answer: 160 copies were distributed to the lower grades, 360 copies to the middle grades and 320 copies to the upper grades.
Xiaohua's comic books are six times that of Xiaoming. If two people buy two more books, Xiaohua's comic books are four times as big as Xiaoming's. How many comic books do they each have?
Solution: There are X books for Xiaohua.
4(x+2)=6x+2
4x+8=6x+2
x=3
6x= 18
16 There are 22 participants from two schools * * *, 1, that is, 5% of the participants from A school, less than 1, that is, 6% of the participants from B school. How many participants are there in the two schools?
Solution: If school A has x participants, school B has (22-x) participants.
0.2 x=(22-x)×0.25- 1
0.2x=5.5-0.25x- 1
0.45 times =4.5
x= 10
22- 10= 12 (person)
A: There are 65,438+00 participants in A school and 65,438+02 participants in B school.
17 a factory applied for two kinds of loans from the bank * * * 300,000 yuan, and it needs to pay interest of 40,000 yuan every year. The annual interest rate of loan A is 12%, and that of loan B is 14%. How much is the factory applying for two kinds of loans?
Suppose: A factory applies for a loan of 10000 yuan and B factory applies for a loan of (30-x) 10000 yuan.
x * 0. 12+(30-x)* 0. 14 = 4
4.2-0.02x=4
0.02x=0.2
X= 10 (ten thousand yuan)
The school organized a spring outing 18. Students leave school in the afternoon 1, take a flat road, climb a mountain road and return to school at 7 pm. It is known that their walking speed is: 4Km/ h on the flat road, 3Km/ h on the mountain road, 6Km/ h on the downhill road and 2.5 hours on the return trip. Q: How many roads did they walk?
7: 00- 1: 00 = 6 (hours) 6-2.5 = 3.5 (hours) 3.5-2.5 = 1 (hours) (6-3) ×1÷ (3 ÷ 6).
They walked 24 kilometers.
A and b are two numbers, and the quotient of a divided by b is 2 remainder 17. The quotient of 10 times b divided by a is 3 and the remainder is 45. Find two numerical solutions of A and B: Let B be X, then A is 2x+ 17.
10x=3(2x+ 17)+45
10x=6x+5 1+45
4x=96
x=24
2x+ 17=2×24+ 17=65。
A: A's number is 65 and B's number is 24.
19 The original storage capacity of the first reservoir is certain, and the river water is evenly put into the reservoir every day. Five pumps can continuously drain water for 20 days; Six identical pumps can continuously drain water 15 days. If drainage is needed for 6 days, how many identical pumps are needed?
20×5= 100 (Taiwan Province) 6× 15=90 (Taiwan Province) (100-90) ÷ (20-15) = 2 (Taiwan Province)/kloc-0.
Answer: If it is pumped out in 6 days, * * * needs 12 pumps.