Question

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

Answer 1

a) 1/24 do total

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

`(1)/(4) + (1)/(3) + (3)/(8) + x = 1`

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

`(6 + 8 + 3*3 + 24x)/(24) = 1`

`23 + 24x = 24`

`24x = 1`

`x = (1)/(24)`

So the correct answer is:

a) 1/24 do total