Question

собранный виноград уложили в 27 ящиков и 15 корзин,. В каждый ящик вошло а кг винограда, а в каждую корзину - на 6 кг больше. Сколько килограммов винограда собрали?

Answer 1

27а+15(а+6)=27а+15а+90=42а+90=2(21а+45)=6(7а+15) кг винограда собрали

Answer 2

Problem Analysis

We are given that 27 boxes and 15 baskets were filled with grapes. Each box contains "a" kilograms of grapes, while each basket contains 6 kilograms more than the boxes. We need to determine the total weight of grapes collected.

Solution

Let's denote the weight of grapes in each box as "a" kilograms. Then the weight of grapes in each basket is "a + 6" kilograms.

To find the total weight of grapes collected, we need to calculate the sum of the weights in the boxes and baskets.

Calculation

The total weight of grapes in the boxes can be calculated by multiplying the weight of grapes in each box ("a") by the number of boxes (27): Total weight in boxes = a * 27

The total weight of grapes in the baskets can be calculated by multiplying the weight of grapes in each basket ("a + 6") by the number of baskets (15): Total weight in baskets = (a + 6) * 15

To find the total weight of grapes collected, we need to add the weights from the boxes and baskets: Total weight of grapes = Total weight in boxes + Total weight in baskets

Let's substitute the given values into the equations and solve for the total weight of grapes.

Calculation

Given: Number of boxes = 27 Number of baskets = 15 Weight of grapes in each box = "a" kilograms Weight of grapes in each basket = "a + 6" kilograms

Total weight in boxes = a * 27 Total weight in baskets = (a + 6) * 15 Total weight of grapes = Total weight in boxes + Total weight in baskets

Substituting the given values: Total weight in boxes = a * 27 Total weight in baskets = (a + 6) * 15 Total weight of grapes = (a * 27) + ((a + 6) * 15)

Simplifying the equation: Total weight of grapes = 27a + 15(a + 6)

Expanding the equation: Total weight of grapes = 27a + 15a + 90

Combining like terms: Total weight of grapes = 42a + 90

Now we can solve for the total weight of grapes by substituting the given values: Total weight of grapes = 42a + 90

Let's calculate the total weight of grapes using the given values.

Calculation

Given: Number of boxes = 27 Number of baskets = 15 Weight of grapes in each box = "a" kilograms Weight of grapes in each basket = "a + 6" kilograms

Substituting the given values: Total weight of grapes = 42a + 90

Now we can calculate the total weight of grapes by substituting the given values: Total weight of grapes = 42a + 90

To find the value of "a" and calculate the total weight of grapes, we need more information.