1. Lily and her family went to the bookstore to buy books and fell in love with a book at the same time. Finally, Lily bought one with three-fifths of her own money and two-thirds of her own, and the remaining money of Lily was five yuan more than that of her family. How much money do they each have? How much are these books?
Let Lili have X yuan, and every family has Y yuan.
3/5 times = 2/3 years
2/5x= 1/3y+5 (Lily has 2/5 left, and 1/3)
X=50 y=45 when solving a quadratic equation, that is, Lily 50 yuan's 45 yuan book 30 yuan.
2. A car consumes 4/5 kilograms of fuel per line for 8 kilometers, and how many kilometers per kilogram of gasoline is feasible on average. How many kilograms does driving 1 km consume?
8 divided by 4/5= 10 (km/)
4/5 divided by 8=0. 1 (kg)
3. A motorcycle 1/2 hours for 30 kilometers. How many kilometers does it travel per hour? How many hours does it take him to drive 1 km?
30 ÷1/2 = 60km1÷ 60 =1/60h.
Four out of seven students reading in the reading room are boys. After five male students walked out of the reading room, twelve of the twenty-three were female students. How many students were reading in the original reading room?
There are x students, and the number of girls remains the same, so (1-4/7) x = (x-5) *12/23.
Find x=28
There are 62 red, yellow and blue balloons, of which three-fifths of the red balloons are equal to two-thirds of the yellow balloons, and there are 24 blue balloons. How many are Red Balloon and Yellow Balloon?
62-24=38 (only)
3/5 red =2/3 yellow
9 Red = 10 Yellow Red: Yellow = 10:9
38/( 10+9)=2
Red: 2* 10=20
Yellow: 20*9= 18
There are 36 students reading in the school reading room, 4/9 of whom are female students. Later, several female students came. At this time, the number of female students accounted for 3/5 of the number of students. Later, several female students came.
Original female student: 36×4/9= 16 (person)
Former male classmate: 36- 16=20 (person)
Total number of employees: 20( 1-3/5)= 50 (persons)
Female: 50×3/5=30 (person)
Number of female students: 30- 16= 14 (person)
7. When water turns into ice, its volume is110, 2. 16 cubic meters of ice melts into water, what is its volume?
2.16/(1+11) =1.98 (m3)
8. Party A's grain is 560 tons. If 2/9 of Party A's grain is shipped to Party B, Party A's grain is exactly the same. How many tons of grain does Party A have? How many tons of grain does B have?
Now both parties have their own.
560 ÷ 2 = 280 tons
It turns out that Jia has
280 ÷ (1-2/9) = 360 tons.
It turns out that b has it.
560-360 = 200 tons
9. The price reduction of TV sets in 200 yuan is 2/ 1 1. What's the price of this TV set now?
The original price is
200 ÷ 2/ 1 1 = 2200 yuan
The current price is
2200-200 = 2000 yuan
10。 Car A has traveled more than 2/5 kilometers from A to B.. At this time, there are still 70 kilometers from B. How many kilometers are there between A and B?
Full time
1-2/5=3/5
be
20+70 = 90km
Distance between Party A and Party B
90 ÷ 3/5 =150km
1 1. Xiaoming reads books. On the first day, he read 28 pages. The next day, he read the whole book 1/5 (1). Last two days, * * * read 3/8 (8/3) of the whole book. How many pages does this book have?
What I read on the first day accounted for the whole book.
3/8- 1/5=7/40
This book * * * has
28/7/40 = 160 page
12. Both the master and the apprentice are processing a batch of parts. After a period of processing, the master processed 84 parts. The apprentice made 63 parts. The master works more than the apprentice, accounting for 1/28 of all tasks. How many parts are there in this batch?
Suppose this batch has x parts.
1/28X=84-63
1/28X= 19
X=532
So there are 532 parts in this batch.
13. A barrel of oil, after eating 7/ 10, added 15 kg. At this time, the oil in the barrel is exactly half of that in a barrel. How much does this barrel of oil weigh?
15 ÷ (7/10-1/2) = 75 (kg)
14. A train runs from Shanghai to Tianjin, accounting for 3/5 of the whole journey. If you drive at 106 km/h, you can reach Tianjin in five hours. How many kilometers is the railway from Shanghai to Tianjin?
( 106*5)/( 1-(3/5))
=530/0.4
=1325km
15. There are 46 students in grade six who participate in math interest groups, among which 4/5 girls are 3/2 times as many as boys. How many boys and girls joined the interest group?
The ratio of male to female students is 4/5: 3/2 = 8: 15.
Number of boys: 46/(8+ 15)*8= 16.
The number of girls is 46- 16=30.
16. There are two packages of candy, each containing milk candy, fruit candy and chocolate candy. Known:
1. The first packet is one fifth less than the second packet, and the ratio of the total number of the first packet to the total number of the second packet is1:2;
2. The total amount of fruit candy in the first package and the second package accounts for 40% of all candy, of which the first package is four fifths less than the second package;
3. The ratio of the first packet of chocolate candy to the other two kinds of candy is 2: 1.
So, what's the ratio of the first packet to the second packet of chocolate candy?
1. If the second package of toffee is 3x, the first package is 5x; Let the percentage of the first packet of toffee be 5y and the local percentage of the second packet of toffee be 6 y, so the first packet of toffee is 5x/5y = x/y; The second packet of sugar is 3x/6y=x/2y. Note that x/2y=a, then the first packet of sugar has 2a, and the second packet of sugar has A;
2. If the first packet of fruit candy has 3z and the second packet has 5z, then 8z/3a=40%, and the solution is: z = 3/20a; The first package contains 9/20a fruit candy; The second package of fruit candy 15/20a=3/4a.
3. Let the chocolate in the first bag have 3v, then 4v=2a, and the solution is: v= 1/2a Chocolate has 3v=3/2a.
The first bag of toffee: 2a-9/20a-3/2a= 1/20a=5x, x =1100a; The second contains milk candy 3x=3/ 100a, chocolate candy a-3/100a-3/4a = 22/100a.
The ratio of chocolate candy in the first package and the second package is 3/2a: 22/100a = 75:11.