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frozen [14]
3 years ago
10

Cuidadosamente, Severina, a empregada dos “Silva” arruma uma bela cesta de maçãs. O patriarca ao ver as maçãs toma para si 1/6 d

as frutas, sua esposa pega 1/5 das restantes, o filho mais velho pega para si 1/4 do restante, o filho do meio e o mais novo pegam, respectivamente 1/3 e 1/2 dos restantes. Quando Severina chega e percebe o cesto praticamente vazio, fica magoada com a gulodice dos patrões e decide pegar para si as 3 frutas restantes. Quantas eram as maçãs arrumadas originalmente por Severina? A) 18 maçãs B) 25 maçãs C) 31 maçãs D) 42 maçãs E) 45 maçãs
Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

There was a total of 18 apples

<u>Step-by-step explanation:</u>

Let us consider the total no. of apples be 'a'.

Patriarca took 1/6 of the apples. So the remaining apples is,

   a - (1/6) a= (5/6) a

Step 1:

His wife takes (1/5) of the rest of the apples. So after she takes the apples the remaining apples will be,

   (5/6) a - (1/5) (5/6) a

   (5/6) a - (1/6) a = (4/6) a

Step 2 :

Her elder son takes (1/4) of the remaining apples. So,

   (4/6) a - (1/4) (4/6) a

   (4/6) a - (1/6) a = (3/6) a

Step 3:

Middle son takes (1/3) of the remaining apples. So,

   (3/6) a - (1/3) (3/6) a

   (3/6) a - (1/6) a = (2/6) a

Step 4:

Younger son takes (1/2) of the remaining apples. So,

   (2/6) a - (1/2) (2/6) a

   (2/6) a - (1/6) a = (1/6) a

After work she takes the remaining 3 apples. So the remaining apples were 3

So,

   (1/6) a = 3

       a = 3 x 6

      a = 18 apples

There were a total of 18 apples.

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