Question

1 мастерская может переплести за 1 день 120 книг, а 2 мастерская 90 книг. Две мастерские выполнили заказ библиотеке по переплетению 2460 книг. сколько дней работала каждая мастерская, если 2 работала на 4 дня больше 1.

Answer 1

1-x
120x+90(x+4)=2460
120x+90x+360=2460
210x=2460-360
210x=2100:210
x=10( дн)-1 бригада
10+4=14(до)

Answer 2

Problem Analysis

We have two workshops that can bind books at different rates. Workshop 1 can bind 120 books in 1 day, while Workshop 2 can bind 90 books in 1 day. Together, they completed an order for a library, binding a total of 2460 books. We need to determine how many days each workshop worked, given that Workshop 2 worked 4 days more than Workshop 1.

Solution

Let's assume that Workshop 1 worked for x days. Since Workshop 2 worked 4 days more than Workshop 1, Workshop 2 worked for (x + 4) days.

The total number of books bound by Workshop 1 is given by the equation: Number of books bound by Workshop 1 = (Number of books bound per day by Workshop 1) * (Number of days Workshop 1 worked) Number of books bound by Workshop 1 = 120 * x

The total number of books bound by Workshop 2 is given by the equation: Number of books bound by Workshop 2 = (Number of books bound per day by Workshop 2) * (Number of days Workshop 2 worked) Number of books bound by Workshop 2 = 90 * (x + 4)

According to the problem, the total number of books bound by both workshops is 2460. Therefore, we can write the equation: (Number of books bound by Workshop 1) + (Number of books bound by Workshop 2) = Total number of books 120x + 90(x + 4) = 2460

Now we can solve this equation to find the value of x, which represents the number of days Workshop 1 worked.

Calculation

Let's solve the equation: 120x + 90(x + 4) = 2460

120x + 90x + 360 = 2460 210x + 360 = 2460 210x = 2460 - 360 210x = 2100 x = 2100 / 210 x = 10

Therefore, Workshop 1 worked for 10 days.

Since Workshop 2 worked 4 days more than Workshop 1, Workshop 2 worked for (10 + 4) = 14 days.

Answer

Workshop 1 worked for 10 days, and Workshop 2 worked for 14 days.