Question

Допоможіть розв'язати задачу. Петро та Ганнуся купили однакові набори наклейок із зображеннями риб та птахів. Ціна набору виражена цілим числом гривень. Петро заплатив за покупку 98 грн, а Гануся - 52 грн більше. Скільки коштує один набір? Скільки наборів купив Петро? Скільки наборів купила Ганнуся?

Answer 1

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Answer 2

To solve this problem, let's assign variables to the unknown quantities. Let's say the cost of one sticker set is x gryvnias, the number of sticker sets bought by Petro is p, and the number of sticker sets bought by Hannusya is h.

We are given that Petro paid 98 gryvnias for his purchase, while Hannusya paid 52 gryvnias more. This can be expressed as the following equations:

1. Petro's payment: p * x = 98 2. Hannusya's payment: h * x = 98 + 52

To find the cost of one sticker set (x), we can solve equation 1 for x:

x = 98 / p [[1]]

Substituting this value of x into equation 2, we can solve for h:

h * (98 / p) = 98 + 52

Simplifying the equation:

h = (98 + 52) * p / 98 [[2]]

Now, we need to find the values of p and h that satisfy both equations.

Let's start by finding the possible values for p. We know that p must be a positive integer since it represents the number of sticker sets bought by Petro. We can try different values for p and calculate the corresponding value of h using equation 2.

By substituting different values for p into equation 2, we can find that when p = 7, h = 12. This satisfies both equations.

Therefore, Petro bought 7 sticker sets, Hannusya bought 12 sticker sets, and the cost of one sticker set is 14 gryvnias.

Let me know if you need any further assistance!