Question

Андрійко та Оленка фарбували разом паркан. Відомо, що 6 13 всього паркану пофарбувала Оленка, а решту – Андрійко. Скільки метрів паркану пофарбували діти разом, якщо Андрійко пофарбував 35 метрів паркану? А скільки метрів паркану пофарбувала Оленка?

Answer 1

To solve this problem, we need to determine the total length of the fence that was painted by both Andriyko and Olenka. We know that Olenka painted 6/13 of the total fence, and the rest was painted by Andriyko. Additionally, we are given that Andriyko painted 35 meters of the fence.

Calculating the Total Length of the Fence Painted by Both Children

Let's assume the total length of the fence is represented by the variable "x". Since Olenka painted 6/13 of the fence, we can calculate the length of the fence she painted by multiplying her fraction by the total length of the fence: Olenka's portion = (6/13) * x

The remaining portion of the fence, painted by Andriyko, can be calculated by subtracting Olenka's portion from the total length of the fence: Andriyko's portion = x - (6/13) * x

We are given that Andriyko painted 35 meters of the fence, so we can set up the following equation: Andriyko's portion = 35 meters

Now we can solve for the total length of the fence, "x": x - (6/13) * x = 35

Simplifying the equation: (13/13 - 6/13) * x = 35 (7/13) * x = 35 x = (35 * 13) / 7 x = 65 meters

Therefore, the total length of the fence is 65 meters.

Calculating the Length of the Fence Painted by Olenka

To find the length of the fence painted by Olenka, we can substitute the value of "x" into Olenka's portion equation: Olenka's portion = (6/13) * 65 Olenka's portion = (6 * 65) / 13 Olenka's portion = 30 meters

Therefore, Olenka painted 30 meters of the fence.

To summarize: - The total length of the fence painted by both children is 65 meters. - Olenka painted 30 meters of the fence.

Please let me know if there's anything else I can help you with!