More than half?

Algebra Level 1

When full, a barrel of water contains 85 litres. How many litres remain after 40% has been used?

Image Credit: Wikimedia madonius


The answer is 51.

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17 solutions

Raghav Gupta
Mar 26, 2015

40×85÷100=34

85-34=51

Dale Scutti
Mar 26, 2015

Using mental math:

40% used means that 60% remains. 60 / 100 × 85 = 0.6 × 85 = 6 × 8.5 = 6 × 8 + 6 × 0.5 = 48 + 3 60/100 \times 85 = 0.6 \times 85 = 6 \times 8.5 = 6 \times 8 + 6 \times 0.5 = 48 + 3

Vaibhav Prasad
Mar 25, 2015

60 100 × 85 = 51 \frac{60}{100} \times 85= 51

It would have been better if u had interchanged '85' and '60' . :)

Nihar Mahajan - 6 years, 2 months ago

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ok man ! done !thanks !

Vaibhav Prasad - 6 years, 2 months ago

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@Kalash Verma how did you solve this

Vaibhav Prasad - 6 years, 2 months ago

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@Vaibhav Prasad Similarly as Solution is given

A Former Brilliant Member - 6 years, 2 months ago
David Foo
Jun 6, 2021

Why do so many people think useful to add yet another explanation for a substraction followed by a multiplication (or vice-versa)?

Vaibhav Gupta
Jun 12, 2016

It is simple.

60% of tank would be there.

Henry Koffa
Oct 12, 2015

100%=85, 40%=×, When you cross multiply, 100x =40 × 85, x = (40 × 85)/100, x = 34, x is the amount used. To find the amount left, subtract 34 from 85. Therefore, the answer is 51.

Cesar Poblete
Jun 2, 2015

100% - 40% = 60% used 60% x 85 = 51

David Scales II
Apr 16, 2015

85×.40=34. 85-34=51

Anwar Hossen
Apr 13, 2015

(60*85)/100

Tootie Frootie
Apr 8, 2015

water used = 40/100 * 85 = 34 liters water remained = 85 - 34 = 51 liters so simple ....

Johndale Esteban
Apr 7, 2015

85×.40=34 then 85-34=51

Uahbid Dey
Mar 27, 2015

(100-40)% of 85 L = 0.6 X 85 L = 51 L

T R
Mar 27, 2015

Maybe not elegant, but quick mental math: 85 x 0.10= 8.5 8.5 x 2= 17 17 x 2= 34 85 - 34= 51

Basically, found 10% of 85, multiplied by 4 (well, 2 and then 2 again) to get 40% and subtracted the result from 85.

Vasu Agarwal
Mar 27, 2015

60/100*85=51

Mr.Person 12345
Mar 25, 2015

85 - (85)(40/100) = 85 - (3/5)85 = 85 - 34 = 51

The solution given are correct but let me give a detailed one. Given that 40 litres out of 100 litres are used therefore 60 litres are left.

Similary if 60 litres out of 100 litres are left therefore out of 85 litres 60 100 × 85 = 51 \frac{60}{100}\times 85 = 51

Abhishek Anand
Mar 25, 2015

40/100*85=34 85-34=51

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