Question

Две школы получили по числу учащихся некоторое количество тетрадей в линейку и в клетку. Первая школа, в которой было 350 учащихся получила на 840 тетрадей меньше, чем вторая,в которой было 420 учеников. Сколько получили обе школы тетрадей в клеточку, если тетрадей в линейку было 5460?

Answer 1

392:252:112
98:63:28

28 учеников

у каждого
392/28=14 тетрадей в клетку
252/28=9 тетрадей в линейку
112/28=4  карандаша

Answer 2

Problem Analysis

We are given two schools, one with 350 students and the other with 420 students. The first school received 840 fewer notebooks than the second school. We need to find out how many notebooks both schools received in total if there were 5460 notebooks in total.

Solution

Let's assume that the first school received x notebooks in total and the second school received y notebooks in total. We can set up the following equations based on the given information:

Equation 1: x + 840 = y (The first school received 840 fewer notebooks than the second school) Equation 2: x + y = 5460 (The total number of notebooks received by both schools is 5460)

We can solve this system of equations to find the values of x and y.

Solving the Equations

To solve the system of equations, we can use the substitution method. We can rearrange Equation 1 to solve for x:

x = y - 840

Substituting this value of x into Equation 2, we get:

(y - 840) + y = 5460 2y - 840 = 5460 2y = 6300 y = 3150

Now, substituting the value of y back into Equation 1, we can find x:

x = 3150 - 840 x = 2310

Therefore, the first school received 2310 notebooks and the second school received 3150 notebooks.

Answer

Both schools received a total of 2310 + 3150 = 5460 notebooks in total.

Verification

Let's verify our answer using the given information:

- The first school received 840 fewer notebooks than the second school: 3150 - 840 = 2310 notebooks. - The total number of notebooks received by both schools is 5460: 2310 + 3150 = 5460 notebooks.

Our answer is consistent with the given information, so we can be confident in our solution.

Please let me know if anything is unclear or if you need further assistance!