Question

У Пеппи и Моаны одинаковое число жемчужин для игры в шарики, а у Томми жемчужин в 2 раза меньше, чем у Пеппи. Всего же у них троих 200 жемчужин. Сможет ли Томми на свои жемчужины выменять у рыбаков ожерелье из акульих зубов, если за одно ожерелье надо отдать 10 жемчужин?

Answer 1

Problem Analysis

We are given that Peppa and Moana have the same number of pearls for playing with marbles, while Tommy has half the number of pearls as Peppa. The total number of pearls among the three of them is 200. We need to determine if Tommy can exchange his pearls for a necklace made of shark teeth from the fishermen, where the necklace costs 10 pearls.

Solution

Let's denote the number of pearls Peppa and Moana have as P, the number of pearls Tommy has as T, and the number of pearls needed for the necklace as N.

From the given information, we have the following equations: 1. P + M + T = 200 (the total number of pearls among the three of them is 200) 2. P = M (Peppa and Moana have the same number of pearls) 3. T = (1/2)P (Tommy has half the number of pearls as Peppa)

We can substitute equation 2 into equation 3 to express Tommy's number of pearls in terms of Peppa's number of pearls: T = (1/2)P = (1/2)(M)

Substituting this expression for T into equation 1, we can solve for P and M: P + M + (1/2)(M) = 200 (3/2)M + M = 200 (5/2)M = 200 M = (2/5) * 200 M = 80

Since Peppa and Moana have the same number of pearls, we can conclude that Peppa also has 80 pearls.

Now, we can find Tommy's number of pearls: T = (1/2)P = (1/2)(80) = 40

The number of pearls needed for the necklace is given as 10.

To determine if Tommy can exchange his pearls for the necklace, we need to check if Tommy's number of pearls is greater than or equal to the number of pearls needed for the necklace: 40 >= 10

Conclusion

Based on the calculations, we can conclude that Tommy has 40 pearls, and since 40 is greater than or equal to 10, Tommy can exchange his pearls for the necklace made of shark teeth from the fishermen.

Please let me know if anything is unclear or if you need further assistance!