360* 1/3= 120
120+360=480
360/480* 100%=75%
2. A bucket of water can be filled with 10 bowl or 12 cup, and 5 cups of water and 3 bowls of water can be poured into an empty bucket. What is the water level of the bucket?
Bowl110,
Cup112,
112 * 5+110 * 3 = answer.
3. 480 movie tickets. If you give it to the fifth-grade students first, the rest can only be given to half of the sixth-grade students. If it is given to the sixth grade, the rest to the fifth grade and the rest to the fifth grade, then the students in the fifth grade 1/3 will not get tickets. How many students are there in Grade Five and Grade Six?
Solution: There are X students in Grade Five and 2 (480-X) students in Grade Six.
Grade 6, grade 2(480-X) students, grade 5 [480-2(480-X)] divided by two thirds.
X+2 (480-x) = 2 (480-x)+[480-2 (480-x)] divided by two thirds.
X=360 ............. Grade 5
2 (480-x) = 2 * (480-360) = 2 *120 = 240 Grade 6 in ...............
4. It takes 3 minutes for Party A, 3.5 minutes for Party B and 4 minutes for Party C to process similar parts. Now we add parts like 1825. The three of them process parts at the same time. How many parts will each of them deal with when completing the task?
A's work efficiency 1/3, B's work efficiency 1/3.5=2/7, C's work efficiency 1/4.
The working efficiency is1825 *1/3 =1825/3.
B work efficiency 1825*2/7=3650/7.
C work efficiency1825 *1/4 =1825/4.
This batch of parts1(1/3+2/7+1/4) = 84/73 hours.
Answer 84/73* 1825/3= answer.
B 84/73*3650/7= Answer
C 84/73* 1825/4= answer
5. A village planted m hectares of corn with a total output of n kilograms; The planting area of rice is p hectares more than that of corn; The total output of rice is twice that of corn. Write the formula representing the yield per unit area of corn and rice. If the denominators of the two formulas are different, divide them!
Corn: the total output is n kilograms, m hectares,
Then: n/m kg per hectare.
Rice: The total output is twice that of corn, which is 2n+q kg.
The planting area is p hectares more than that of corn, which is m+p kg.
Then: 2n+q/m+p kg per hectare.
Corn is n/m kg per hectare, and rice is 2n+q/m+p kg per hectare and then divided equally.
N(m+p)/m(m+p) kg of corn per hectare,
Rice is m(2n+q)/m(m+p) kg per hectare.
6. The school awarded the scholarship of 170 yuan to Zhang San and Li Si, two students who won the prize in the math contest. 2/9 of Zhang San is equal to 1/4 of Li Si. How much do they each get?
Number of prizes in Zhang Sanzhong *2/9= Number of prizes in Li Si * 1/4.
You can set:
Number of Zhang Sanzhong prizes = 1/4
Number of prizes won by Li Si =2/9
Then:
Number of prizes in Zhang Sanzhong *2/9= Number of prizes in Li Si * 1/4.
1/4*2/9=2/9* 1/4
The ratio of the winning numbers of Zhang San and Li Si is 1/4:2/9=9:8.
And then distribute it in proportion,
170*9/9+8=90 won the third prize.
170 * 8/9+8 = 80 yuan Lisi winning number.
7. Given that the greatest common factor of two numbers is 4 and the least common multiple is 120, how to find these two numbers?
We have an x and a y.
Maximum common divisor 4,
Least common multiple:
4 |X Y
| -
A b
Least common multiple =4*A*B= 120
A*B=30, AB is coprime, so A = 2, B = 15.
X=2*4=8，Y= 15*4=60
So, these two numbers are 8 and 60.
8. A barrel of salt water weighs 200 kg, and the salt content is 10%. How many kilograms of water should be evaporated to make the salt content reach 16%?
The weight of salt is constant, and the salt is: 200 * 10% = 20kg.
When the salt content is 16%, the total amount is 20/ 16%= 125 kg.
Then the water is evaporated: 200- 125=75 kg.
9. A bottle of drink, after drinking 25%, weighs 950g. When drinking 50%, it weighs 700g g. How many kilograms are there in drinks and bottles?
Drinking water: 50%-25%=25% weight ratio: 950-700 = 250g.
The total weight of water is: 250/25% =1000g =1kg.
Bottle weight: 950- 1000 * 75% = 200g =0. 2 kg
10. How many integers greater than 100 have the same quotient and remainder after dividing by 13?
There are five.
13× 7+7 = 98 < 100, and the quotient starts from 8. But the remainder is less than 13, and the maximum is 12, where13× 8+8 =112,655. 13× 10+ 10 = 140, 13× 1 1+ 1 1 = 154, 65438.