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Um litro de suco é dividido entre três amigos. O primeiro fica com 14 do todo, o segundo fica com 1/3 do total e o terceiro fica com 3/8 do total. Quanto de suco ainda resta?
a) 1/24 do total

b) 1/5 do total

c) 4/5 do total

d) 23/24 do total

e) 3/8 do total

Respuesta :

Answer:

a) 1/24 do total

Step-by-step explanation:

We have that:

The total is 1.

The first friend gets 1/4 of the total.

The second friend gets 1/3 of the total

The third friend gets 3/8 of the total.

The remaining is x.

So

[tex]\frac{1}{4} + \frac{1}{3} + \frac{3}{8} + x = 1[/tex]

The least common multiple between 4, 3 and 8 is 24. So

[tex]\frac{6 + 8 + 3*3 + 24x}{24} = 1[/tex]

[tex]23 + 24x = 24[/tex]

[tex]24x = 1[/tex]

[tex]x = \frac{1}{24}[/tex]

So the correct answer is:

a) 1/24 do total

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