Question

У Ани две ленты:зелёная и желтая. Зелёная лента на 3дм длиннее желтой.Аня отрезала от зеленой ленты 6дм,а от желтой 2дм.Какая лента стала длиннее? На сколько см?

Answer 1

х дм желтая лента

х+3 дм зеленая

 

х+3-6=х-3 дм стала зеленая лента

х-2 дм стала желтая

получаем, что желтая  длиннее на 1 м

Answer 2

Problem Analysis

Аня has two ribbons: a green ribbon and a yellow ribbon. The green ribbon is 3 dm longer than the yellow ribbon. Аня cut 6 dm from the green ribbon and 2 dm from the yellow ribbon. We need to determine which ribbon became longer and by how many centimeters.

Solution

Let's calculate the initial lengths of the green and yellow ribbons.

Let's assume the length of the yellow ribbon is x dm. Since the green ribbon is 3 dm longer, its length will be x + 3 dm.

Аня cut 6 dm from the green ribbon, so the remaining length of the green ribbon is (x + 3) - 6 dm.

Аня also cut 2 dm from the yellow ribbon, so the remaining length of the yellow ribbon is x - 2 dm.

To determine which ribbon became longer, we need to compare the remaining lengths of the green and yellow ribbons.

If the remaining length of the green ribbon is greater than the remaining length of the yellow ribbon, then the green ribbon became longer. Otherwise, the yellow ribbon became longer.

Let's calculate the remaining lengths of the ribbons and determine which one became longer.

Calculation

Let's calculate the remaining lengths of the green and yellow ribbons.

Remaining length of the green ribbon = (x + 3) - 6 = x - 3 dm

Remaining length of the yellow ribbon = x - 2 dm

To determine which ribbon became longer, we need to compare the remaining lengths.

If (x - 3) > (x - 2), then the green ribbon became longer.

Let's solve the inequality to find the value of x.

(x - 3) > (x - 2)

Simplifying the inequality:

x - 3 > x - 2

Subtracting x from both sides:

-3 > -2

The inequality -3 > -2 is not true for any value of x. Therefore, the green ribbon did not become longer.

If the green ribbon did not become longer, then the yellow ribbon became longer.

To find out by how many centimeters the yellow ribbon became longer, we need to calculate the difference in length between the initial yellow ribbon and the remaining yellow ribbon.

Difference in length = Initial length - Remaining length

Initial length of the yellow ribbon = x dm

Remaining length of the yellow ribbon = x - 2 dm

Difference in length = x - (x - 2) = 2 dm

Therefore, the yellow ribbon became longer by 2 cm.

Answer

The yellow ribbon became longer by 2 cm.