
Ваня взял из коробки 1/2 всех карандашей и ещё 15, а Толя взял 3/5 остатка и последние 10
карандашей.Сколько карандашей всего было в коробке?

Ответы на вопрос

1)15:1*2=30
2)10:5*3=6
3)15+10+30+6=61



Problem Analysis
We are given that Vanya took half of the pencils from the box and an additional 15, while Tolya took three-fifths of the remaining pencils and the last 10 pencils. We need to determine the total number of pencils in the box.Solution
Let's assume that the total number of pencils in the box is x.According to the given information: - Vanya took half of the pencils from the box, which is (1/2)x pencils. - Vanya also took an additional 15 pencils. - Tolya took three-fifths of the remaining pencils, which is (3/5)(x - (1/2)x - 15) pencils. - Tolya also took the last 10 pencils.
To find the total number of pencils in the box, we need to add up the pencils taken by Vanya and Tolya: (1/2)x + 15 + (3/5)(x - (1/2)x - 15) + 10 = x
Now, let's solve this equation to find the value of x.
Calculation
(1/2)x + 15 + (3/5)(x - (1/2)x - 15) + 10 = xSimplifying the equation: (1/2)x + 15 + (3/5)(x - (1/2)x - 15) + 10 = x (1/2)x + 15 + (3/5)(x - x/2 - 15) + 10 = x (1/2)x + 15 + (3/5)(x/2 - 15) + 10 = x (1/2)x + 15 + (3/5)(x/2) - (3/5)(15) + 10 = x (1/2)x + 15 + (3/10)x - 9 + 10 = x (1/2)x + (3/10)x + 16 = x (5/10)x + (3/10)x + 16 = x (8/10)x + 16 = x (8/10)x - x = -16 (-2/10)x = -16 x = (-16) / (-2/10) x = (-16) * (-10/2) x = 80
Therefore, the total number of pencils in the box is 80.
Answer
There were a total of 80 pencils in the box.

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