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A simple mathematical problem
1, 5/6 of the fifth-grade students in a primary school have reached the physical education standard, including 45 girls, accounting for 3/7 of those who have reached the standard. How many are there in the fifth grade?

Solution: The number of people who meet the standard is 45/(3/7)= 105.

The number of students in Grade Five is 105/(5/6)= 126.

A: There are 126 students in grade five.

2. There are 240 fourth-grade students in a primary school. The ratio of boys to girls is 7: 8. How many boys are less than girls?

Solution: 240/(7+8)= 16

A: There are fewer boys than girls 16.

3. A road construction team built a road, the first day was 65438+3/00 of the total length, and the second day was 9/20 of the total length. The first day was 24 kilometers more than the second. What is the total length of this road?

Solution: 24/(9/20-3/ 10)

=24/(9/20-6/20)

=24/(3/20)

= 160

A: The total length of this highway is 160 km.

Note: it was repaired more the next day.

4. A factory burned 2400 tons of coal in August, less than that in August 1. How many tons of coal were burned in September?

Solution: 2400*( 1- 1/4)

=2400*(3/4)

= 1800

A: In September, 65,438+0,800 tons of coal were burned.

5. For a project, team A will do it for 8 days and team B will do it for 6 days. If Team B does/kloc-0 first, and then Team A and Team B cooperate, how many days will it take?

Solution: (1-1/4)/(1/8+1/6)

=(3/4)/(3/24+4/24)

=(3/4)/(7/24)

=(3/4)*(24/7)

= 18/7

A: More 18/7 will be completed.

A rectangular swimming pool covers an area of 60 square meters. After 48 cubic meters of water is injected, the swimming pool is exactly 1. How deep is this swimming pool?

Solution: 48/60=0.8

0.8/( 1/3)=2.4

This swimming pool is 2.8 meters deep.

7. For project A, single order A 12 hours and single order B 15 hours will be completed. How many hours will Party A and Party B complete the cooperation?

Solution:1/(112+115)

= 1/(5/60+4/60)

= 1/(9/60)

=60/9

=6/2/3(6 and 2/3)

A: The cooperation between Party A and Party B will be completed within 6 2/3 hours.

8. A rectangular piece of land with a length of 1 20m has a ratio of width to length of1. What is the area of this land?

Solution:120 *120 * (1-1/3)

= 14400*2/3

=9600

A: The area of this land is 9600 square meters.

9. The price of a desk is 60 yuan, and the price of a chair is 5/7 of that of a desk. What's the price of the chair?

Solution: 60/(1+5/7) = 60/(12/7) = 35 Table.

35*5/7=25 chairs

The price of this chair is 25 yuan.

10, a cubic container with a length of 2 decimeters, pour 5 liters of water into the container, and then put a stone into the water. At this time, the water depth in the container is 15 cm, and the volume of the stone is how many cubic centimeters?

Solution: The volume of the container is 2*2*2=8.

The volume of stone after adding water is 2*2* 1.5=6.

The volume of the stone is 6-5= 1.

A: The volume of stone is 1 decimeter cubic (100 cubic centimeter).