1

The original price of a movie ticket is several yuan each. Now, each movie ticket is sold in 3 yuan, and the audience will increase by half and the income will increase by one-fifth. How much is the original price of a movie ticket?

Solution: What does it mean to set a movie ticket price of X yuan

(x-3) × (1+1/2) = (1+1/5) x

(1+1/5) x, and why do you do it

(x-3){ the current unit price of movie tickets}? Then the current audience number is (1+2/1)}

The left-hand formula works out the total income

(1+1/5)x{ In fact, this formula should be: 1x*(1+5/1) If the original audience number is regarded as a whole, the original income should be 1x yuan, but now it has increased by one fifth, so it should be * (. Make the left and right sides of the equation equal

2

Party A and Party B deposit ***96 yuan in the bank. If they take out 4% of their own deposits respectively, they will withdraw 12 yuan from Party A's deposit and give it to Party B.. At this time, the two men have equal money and ask for B's deposit.

Answer

After taking 4%, the deposit is

96× (1-4%) = 576 yuan

At this time, B has: 576 ÷ 2+12 = 3 yuan

B originally had: 3 yuan. After adding another 3 chocolate candies, chocolate candies account for 75% of the total, so how many milk candies are there in the original mixed sugar? How many chocolates are there?

Answer

Add 1 toffee, and chocolate accounts for 6% of the total, which means that toffee accounts for 4% at this time.

Chocolate is 6/4=1 of toffee. 5 times

add 3 chocolates, chocolate accounts for 75%, toffee accounts for 25%, and chocolate is 3 times of toffee

, which is 3-1.5=1.5 times, indicating that 3 toffee =3/1.5=2

chocolate = 1.5 * 2 = Xiao Liang said, "If you can give me 1/6 of yours, I will have two more than you." How many original glass balls did Xiaoming have?

Answer

Xiaoming said, "The number of balls you have is 1/4 less than mine!" , the number of balls to be Xiaoming is 4, and the number of balls to be Xiaoliang is 3

4 * 1/6 = 2/3 (Xiaoming wants to give Xiaoliang 2/3 glass balls)

Xiaoming has 4-2/3 = 3 1/3 (copies)

Xiaoliang has 3+2/3. Knowing that each glass ball is 6, Xiao Ming's original glass balls are 4 * 6 = 24 (pieces)

. It takes 1 hours for A, 12 hours for B and 15 hours for C. With the same warehouses A and B, A starts to carry the goods in warehouse 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 are moved at the same time.

Solution: Let's say that the workload of carrying goods in one warehouse is 1. Now it is equivalent to three people * * * completing the workload 2, and the required time is

Answer: C helps A to carry for 3 hours, and B to carry for 5 hours

The key to solving this problem is to calculate the time for three people * * * to carry two warehouses at the same time. Let's assume that the total workload of handling a warehouse is 6. Party A handles 6 per hour, Party B handles 5 per hour, and Party C handles 4

per hour, and all three people move together. Need

6 × 2÷(6+ 5+ 4)= 8 (hours)

Party A needs C to help with the handling

(6× 8) ÷ 4 = 3 (hours)

Party B needs C to help with the handling

(6-5× 8

Answer

Party A, Party B and Party C will finish it in 8 days: 5/6-1/3=1/2

Party A, Party B and Party C will finish it every day: 1/2÷8=1/16.

Party A, Party B and Party C will finish it in four days: 1/16×4=1/4

Then Party A will do it for one day and Party B will do it for two days: 1/3-1/4=1/12

Then Party B will do it for one day: [1/12-1/72× 3]/2 = 1/2. 36=6 days

A: It will take another 6 days

In stock trading, stamp duty and commission (commonly referred to as handling fee) must be paid at 1% and 2% of the transaction amount respectively for each stock bought or sold. Lao Wang bought 3, shares of a technology stock at the price of 1.65 yuan on October 8, and sold them all at the price of 13.86 yuan per month on June 26. How much did Lao Wang earn by selling this stock?

answer

1.65 * 1% = .165 (yuan) 1.65 * 2% = .213 (yuan)

1.165+.213=.3195 (yuan) .3195+1.65 = 1.965.

.1386+.2772 = .4158 13.86+.4158 = 14.2758 (yuan)

14.2758-1.9695=3.363 (yuan)

A: Lao Wang made a profit by selling this stock. When I bought books for the second time, the wholesale price of each book increased by .5 yuan compared with the first time. When I went to 15 yuan, I bought 1 more books than the first time. When this batch of books sold for 4/5, it was unsalable, so I sold out the remaining books at 5% off the pricing. May I ask whether the boss lost money or made money when he sold books for the second time? If so, how much? If so, how much?

Answer

(1+4)/2.8=5 books, 1/5=2 15/(2+.5)=6 books, 6*8%=48 books, 48 *. 15 days to finish. If you want to finish three days ahead of schedule, how many people need to be added

Solution: Suppose you need to add X people

(4+x)(15-3)=4*15

x=1

, so you need to add 1

. There is a batch of goods in the warehouse, and the mass ratio of the transported goods to the remaining goods is 2. How many tons of the original goods in the warehouse?

solution: the first shipment: 2/(2+7) = 2/9.

64/(1-2/9-3/5) = 36 tons.

a: there were 36 tons of goods in the original warehouse.

The ratio of qualified students to unqualified students in Yucai Primary School was 3: 5. Later, 6 students reached the standard. At this time, the qualified students were 9/11 of the unqualified students. How many students are there in Yucai Primary School?

Answer

The original number of people who reached the standard was 3 ÷ (3+5) = 3/8

Now the number of people who reached the standard is 9/11 ÷ (1+9/11) = 9/2

Yucai Primary School * *.

The answer

Let Xiao Wang do the A, Xiao Li do the B and Xiao Zhang do the C

From the question meaning 1/2a=1/3b=1/8c

c-a=72

, a=24 b=36 c=96

Party A and Party B * *. It takes 6 minutes for A to make a part and 5 minutes for B to make a part. How many parts did each of them make when they finished this batch of parts?

answer

suppose a made x, then b made (242-X)

6x = 5 (242-x)

x = 11

242-11 = 132 (pieces)

a: A made 11 pieces. Find the ratio of the number of men and women in Group C < P > Answer < P > Suppose that the male member is 3N, the female member is 2N, and the total number of people is 5N

Group A has: 5N*1/[1+8+7]=2N, in which: male: 2N*3/4=3N/2, female: 2n * 1. Female: 8/5N*3/8=3/5N

Grade C: 5N*7/25=7/5N

Grade C: 3N-3N/2-N=N/2, female: 2n-n/2-3/5n = 9/1n. The irrigated area ratio of village A, village B and village C is 8: 7: 5. Originally, three villages planned to send labor according to the irrigated area ratio. Later, because village C could not spare labor, through consultation, the labor that village C should spare was shared by villages A and B, and village C paid 135 yuan to villages A and B. As a result, village A * * * sent 6 people and village B * * * sent 4 people, asking how much money each village should get.

Answer

Calculate the total number of shares according to the ratio of irrigated area in village A, B and C: 8+7+5=2

Number of people needed for each share: (6+4)÷2=5

Number of people needed for village A: 8×5=4, and number of extra laborers: 6-4. Number of extra laborers: 4-35=5

Number of people needed in village C: 5×5=25 or 2+5=25

Amount of money due to each person: 1,35 ÷ 25 = wages due to village A in 54 yuan

54× 2 = 1,8 yuan

. Later, Li Ming suggested that his father cut the price. As a result, the daily sales volume doubled after the price cut, and the daily profit increased by 5%. Q: How much is the price reduction per kilogram of fruit?

the answer

let's say that the price of X was reduced by a before, then .2X * (1+.5)=(.2-a) * 2x

then .1X=2aX a=.5

. Harry Potter took part in the math contest, and he scored 68 points. The standard of grading is: 2 points for each right one and 6 points for each wrong one. 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 answers 2X correctly, and answers x incorrectly

2× 2x-6x = 68

4x-6x = 68

34x = 68

x = 2

correctly: 2×2=4 questions

* * There are: To pay the extra baggage fee, three people * * * paid 4 yuan, while the three-person baggage * * * weighed 15kg. If one person can take these baggage, then in addition to the free part, 8 yuan should be paid for the extra baggage fee, so as to ensure the quality of the baggage that each person can carry for free.

Answer

Let the weight that can be carried for free be x kg, then:

(15-3x)/4=(15-x)/8 // The unit price of the non-free part on both sides of the equation is the same;

Solve the equation: x=3

A group of young pioneers crossed the river by boat. If each boat takes 15 people, there are 9 people left. If each boat takes 18 people, there is just one boat left. How many boats are there?

answer

solution 1:

if the number of ships is x, then

(15x+9)/18 = x-1

15x+9 = 18x-18

27 = 3x

x = 9

A: There are 9 ships.

Solution 2:

(15+9)÷(18-15)=8 boats-each boat took 8 boats when there were 18 people

8+1=9 boats

There are two piles of sand on the construction site, one pile is 85 tons more than the other, and after each pile of sand uses 3 tons,

answer

let two piles be x tons, then one pile is X+85 tons

X+85-3=2(X-3)

x=115(2 piles)

x+85=115+85=2(1 pile). What is the smallest of these six numbers?

The answer

The six numbers are 46 47 48 96 97 98

The distance between A and B is 42 kilometers, one of which is paved with asphalt and the other is dirt road. It takes a car eight hours to drive from A to B, and it is known that the speed on asphalt road is 6 kilometers per hour, while that on dirt road is 4 kilometers per hour.

Answer

The time taken for the two sections of the road is ***8 hours.

asphalt road time: (42-x) ÷ 6

dirt road time: x÷4

7-(x÷6)+(x÷4)=8

Yes x ÷ 12 = 1 <