Mathematics: Naya sells half the paintings in her collection and gives one-third of her paintings to friends, while she keeps the remaining paintings for herself. What fraction of her original collections does she keep?

Naya sells half the paintings in her collection

Ответ:

haileysolis5

31.01.2022

Mathematics

$R = \frac{1}{6}$

Step-by-step explanation:

Given that she sold half the paintings and gives out one-third

Required

Determine the fraction left with her

The relationship between the paintings is as follows;

Sold Paintings + Giveaway Paintings + Remaining Paintings = 1

From the question;

Sold Paintings = 1/2

Giveaway = 1/3

Represent Remaining Paintings with R

Substitute these values in the above formula

$\frac{1}{3} + \frac{1}{2} + R = 1$

Take LCM

$\frac{2+3}{6} + R = 1$

$\frac{5}{6} + R = 1$

Make R the subject of formula

$R = 1 - \frac{5}{6}$

Take LCM

$R = \frac{6-5}{6}$

$R = \frac{1}{6}$

Hence, the fraction of the paintings left with her is $\frac{1}{6}$

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Ответ:

sanociahnoel

30.10.2020

Mathematics

5 hours

Step-by-step explanation:

A motorcycle will complete the 540 mile trip in 11.25 hours

And the car will complete it 2.25 hours less, i.e 11.25 -2,25 = 9 hours.

then,

Speed of the car:

60t + 48t = 540

108t = 540

If you Divide both sides by 108 we get t = 5

So, they will meet in 5 hours,

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Naya sells half the paintings in her collection and gives one-third of her paintings to friends, while she keeps the remaining paintings for herself. What fraction of her original collections does she keep?

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