Question

Дідусь для онуків купив за однаковою ціною іграшкові літаки та ляльки - усього 9 іграшок. За покупку ві нзаплатив 180 грн. Скільки окремо куплено літаків і ляльок, якщо всі ляльки коштували 60 гривень?

Answer 1

Відповідь:

180/9=20 гривень коштує кожна іграшка

60 гривень /20 гривень=3 ляльоки

9-3=6 літаків

Відповідь:Дідусь купив 6 літаків і 3 ляльки(120 гривень літаки і 60 гривень ляльки)

Покрокове пояснення:

Answer 2

To solve this problem, let's assign variables to the number of airplanes and dolls bought. Let's say the number of airplanes is represented by 'x' and the number of dolls is represented by 'y'.

We are given that the total number of toys bought is 9, so we can write the equation: x + y = 9.

We are also given that the cost of each doll is 60 gryvnias, and the total cost of all the toys is 180 gryvnias. Since the cost of each doll is 60 gryvnias, the cost of all the dolls would be 60y gryvnias. The cost of all the airplanes would then be 180 - 60y gryvnias.

We can write another equation based on the total cost: 60y + (180 - 60y) = 180.

Now, let's solve these equations to find the values of x and y.

Solving the equations:

From the equation x + y = 9, we can rewrite it as x = 9 - y.

Substituting this value of x into the equation 60y + (180 - 60y) = 180, we get:

60y + 180 - 60y = 180.

Simplifying the equation, we have:

180 = 180.

This equation is true for any value of y. Therefore, there are infinitely many solutions to this problem.

For example, if we let y = 0, then x = 9 - 0 = 9. This means that all 9 toys are airplanes.

If we let y = 1, then x = 9 - 1 = 8. This means that there are 8 airplanes and 1 doll.

If we let y = 2, then x = 9 - 2 = 7. This means that there are 7 airplanes and 2 dolls.

And so on...

In conclusion, there are infinitely many possible combinations of airplanes and dolls that satisfy the given conditions.