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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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Answer:

  46 cm

Step-by-step explanation:

Let p represent the length in cm of 1 bap'ai; let k represent the length in cm of 1 bok'ai. Then we have ...

  12p +2k = 100

  10p +10k = 100

Subtracting the second equation from 5 times the first, we get ...

  5(12p +2k) -(10p +10k) = 5(100) -(100)

  50p = 400

  p = 8 . . . . cm

Then the second equation tells us ...

  10(8) +10k = 100

  10k = 20

  k = 2 . . . . cm

Then 5p+3k = 5(8) +3(2) = 46 cm.

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2 years ago
Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=
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Answer:

\frac{1}{3}

Step-by-step explanation:

Given

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= \frac{1}{4} × \frac{4}{3} ( cancel the 4 on the numerator and denominator )

= \frac{1}{3}

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2 years ago
A travel agency has 2,106 people registered for a trip. Each tour bus can seat 54 people.
mariarad [96]

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What is (−2.1)⋅(−1.4)
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1 year ago
Jacob is mixing salt with
77julia77 [94]

The number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, a \div b = a divided in b equal parts.

Also, we can write: a \div b = a \times \dfrac{1}{b}

(it is since a = a times 1 so a/b = 1 \times (a/b) = (1/b) \times a)

The given table is:

Tablespoons of salt          Cups of water

             8                                    2

             16                                   4

             24                                   6

2 cups of water gets 8 tablespoon of salt.

Then 1 cup of water gets 8/2 = 4 tablespoons of salt. (divided the numbre of cups of water and number of tablespoons of salts in 2 equal parts).

This pattern remains same for other rows of the table, since we have:

1 cup of water gets 8/2 = 16/4 = 24/6 = 4 tablespoons of salt.

Thus, the number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

Learn more about division here:

brainly.com/question/26411682

#SPJ1

4 0
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