Question

Малюк і Карлсон поділили 132 цукерки. Коли Малюк з'їв 2/3 своїх цукерок, а Карлсон 3/5 своїх цукерок, то у них залишилась однакова кількість цукерок. Скільки цукерок дісталось кожному?

Answer 1

X+y=132
x-⅔x=y-3/5y
⅓x=2/5y
y=132-x
⅓x=0.4(132-x)
⅓x=52.8-0.4x
6/15x+5/15x=52.8
11/15x=52.8
11x=52.8*15
11x=792
x=792:11
x=72
y=132-72=60
Ответ:
Малыш 72 конфеты
Карлсон 60 конфет

Answer 2

Solution:

To solve this problem, we can set up an equation based on the given information and then solve for the number of candies each person received.

Let's denote the total number of candies as C.

According to the given information: - Maluk ate 2/3 of his candies, so he has 1/3 of the candies left. - Carlson ate 3/5 of his candies, so he has 2/5 of the candies left.

We are also given that the remaining candies are equal for both Maluk and Carlson.

Equation Setup:

We can set up the equation as follows: 1/3 * C = 2/5 * C

Solving for C:

To solve for C, we can multiply both sides of the equation by 15 (the least common multiple of 3 and 5) to get rid of the fractions: 15 * 1/3 * C = 15 * 2/5 * C 5C = 6C C = 5C

So, the total number of candies, C, is 5 times the number of candies each person received.

Calculating the Number of Candies:

Now, we can calculate the number of candies each person received: - Maluk received 1/3 * C = 1/3 * 5C = 5 candies. - Carlson received 2/5 * C = 2/5 * 5C = 2 candies.

Answer:

Therefore, Maluk received 5 candies and Carlson received 2 candies.