Current location - Training Enrollment Network - Mathematics courses - Nine math problems
Nine math problems
1. There was a bumper harvest of tomatoes in the vegetable garden, and three-eighths of them were harvested, making three baskets, which was 24 kilograms more. When the rest was harvested, it was just full of six baskets. How many kilograms of tomatoes are there in each basket?

Take all three eighths. If three baskets are full and there are 24 kilograms more, take all one eighths. If 1 basket is full, there are 8 kilograms more. So after collecting the remaining five eighths and filling five baskets, there is still 8*5=40 kg. So each basket of tomatoes is 40 kilograms. (Column types are listed by themselves, which is very simple)

The sporting goods store bought 50 footballs and 40 basketballs at a price of * * * 3,000 yuan. At the time of retail, the price of football increased by 9%, and the price of basketball increased by 1 1%. After all sold, the profit is 298 yuan. What is the purchase price of each basketball?

If the price of basketball and football increases by 9%, the profit is 3000*9%=270 yuan; If basketball and football increase their prices by 1 1%, the profit will be 3000* 1 1%=330 yuan and 298-270=28 yuan.

28 yuan, who earns more, is the result of basketball price increase 1 1%-9%=2%, so the original price of basketball is 28/2%= 1400 yuan.

The purchase price of each basketball is: 1400/40=35 yuan.

The purchase price of each football is: (3000- 1400)/50=32 yuan.

3. The school library bought *** 126 literary books and cartoons, and one-sixth of the literary books were seven less than two-ninth of the cartoons. How many literary books and comic books did you buy?

One in six literary books is seven fewer than two in nine comic books. If it is changed to "one sixth of literary books is exactly two-ninth of comics", seven comics will be added to the two-ninth without comics, that is, the increase of seven comics divided by two-ninth equals 3 1.5, that is, the total number of comics and literary books will increase by 3 1.5 to 65438+. You can make "one sixth of literary books is exactly two ninth of comic books."

At this time, the ratio of literature books to comics is 2/9 1/6 = 4: 3.

Books on literature and art are: 157.5*4/(4+3)=90.

The cartoon is:157.5 * 3/(4+3)-31.5 = 36.

Or comic book is 126-90=36.

4. The grain in Warehouse A is 30 tons less than that in Warehouse B. If 10 ton is transferred from Warehouse B to Warehouse A, the tonnage of Warehouse A is three quarters of that of Warehouse B, then what is the tonnage of each warehouse?

Let the sum of party a and party b be x,

The grain stored in warehouse A is 30 tons less than that stored in warehouse B, which is four fifths less. If warehouse B is reduced by 30/(4/5)=37.5 tons, the grain stored in warehouse A is exactly four fifths of that stored in warehouse B. The ratio of Party A to Party B is 4:5. At this time, Party A and Party B reduced by 37.5 tons in total. It's X-37.5.

A accounts for 4/9 of the total, that is, (x-37.5) * 4/9 m.

After transferring 10 ton from warehouse B to warehouse A, the ratio of Party A to warehouse B is 3:4, that is, Party A accounts for 3/7 of the total and Party B accounts for 4/7 of the total.

When A doesn't get 10 ton of B, it accounts for 3/7 of the total, that is, X * 3/7-10 n.

By m and n:

(X-37.5)*4/9 =X*3/7- 10

The result is X=420 tons.

Then "A" already exists.

X*3/7- 10= 170 tons

B there was.

420- 170=250 tons

Check:

170=250*4/5-30

170+ 10=(250- 10)*3/4

Get a solution.

It's purely manual, hope to give points. Thank you.