Judge whether the two quantities in each question are in proportion, and explain the reason (1) The unit price of the pencil is fixed, the number of pencils to buy and the amount of money to pay (2) The speed of the car is fixed, the driving time is long and the distance is long (3) Perimeter and side length of a square (4) A book, the number of pages read and the number of pages not read

Judge whether the two quantities in each question are in proportion, and explain the reason (1) The unit price of the pencil is fixed, the number of pencils to buy and the amount of money to pay (2) The speed of the car is fixed, the driving time is long and the distance is long (3) Perimeter and side length of a square (4) A book, the number of pages read and the number of pages not read


1. Because the amount of money payable divided by the number of pencils is equal to the unit price, their ratio is fixed, so they are in a positive proportion;
2. Because the travel time divided by the distance is equal to the speed of the car, their ratio is fixed, so they are in positive proportion;
3. Because the perimeter of a square divided by the side length equals 6, their ratio is constant, so they are in positive proportion;
4. Because the sum of the number of pages read and the number of pages not read is certain, but the ratio is not certain, so they are not in a positive proportion
Should be right, because I have learned



5. It is known that 10 tons of goods can be transported at one time when two A-type cars and one B-type car are full of goods; 11 tons of goods can be transported when one A-type car and two B-type cars are full of goods at one time. A logistics company has 32 tons of goods, and plans to rent A-type car and B-type car at the same time, and each car is full of goods
Based on the above information,
(1) How many tons of goods can be transported by a type a car and a type B car when they are full?
(2) Please help the logistics company design a car rental scheme
To specific process, step by step that
We need to solve it with a quadratic equation of two variables


1. Suppose that one A-type vehicle and one B-type vehicle can transport x tons and Y tons of goods at one time when they are full of goods, then the equations are set up as follows:
2x+y=10 ①
x+2y=11 ②
Equation 1 multiplies to get 2 = 4x + 2Y = 20, while equation 2 subtracts to get 3x = 9
x=3,
Substituting x = 3 into equation 1 gives 6 + y = 10
y=4.
A type a car and a type B car can carry 3 tons and 4 tons of goods respectively