Question

Мотузку розрізали на 3 шматки. Довжина першого шматка була 8 дм, а другого - на 5 дм більша за довжину третього. У перших двох шматках разом 1 м 7 дм. Яка довжина третього шматка? Яка довжина всієї мотузки?

Answer 1

Ответ:

Пошаговое объяснение:

1) (17-8-5)=4(дм)-довжина третьої мотузки;

2) 8+(17-8)+(17-8-5)=24 (дм)-всього

Answer 2

Problem Analysis

We are given that a rope was cut into 3 pieces. The length of the first piece is 8 dm, and the length of the second piece is 5 dm more than the length of the third piece. The combined length of the first two pieces is 1 m 7 dm. We need to find the length of the third piece and the total length of the rope.

Solution

Let's solve this problem step by step.

1. Let's assume the length of the third piece is x dm. 2. According to the given information, the length of the second piece is 5 dm more than the length of the third piece. So, the length of the second piece is x + 5 dm. 3. The combined length of the first two pieces is 1 m 7 dm, which is equal to 1 m 70 dm. We can convert this to dm by multiplying the meters by 10 and adding the dm. So, the combined length is 1 * 10 + 70 = 80 dm. 4. Now, we can set up an equation to solve for the length of the third piece. The sum of the lengths of the first two pieces is equal to the combined length: 8 + (x + 5) = 80. 5. Simplifying the equation, we get x + 13 = 80. 6. Subtracting 13 from both sides, we get x = 67. 7. Therefore, the length of the third piece is 67 dm. 8. To find the total length of the rope, we need to add the lengths of all three pieces: 8 + (x + 5) + x = 8 + (67 + 5) + 67 = 8 + 72 + 67 = 147 dm.

Answer

The length of the third piece is 67 dm and the total length of the rope is 147 dm.

Please let me know if you need any further assistance.