Water in an Aquarium.

Geometry Level 2

The aquarium was full of water. A girl has tipped it on its side so five liters are left. How much water does the aquarium hold when it is full of water? ( 100 % 100\% indicates full volume of the tank where 20 % 20\% indicates only 20 % 20\% of the volume of the tank. )

10 11 12 12.5 8

Hana Wehbi by Hana Wehbi , 51, USA

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2 solutions

Let the volume of the aquarium be V V . We note that the 5 liters of water is equal to half of 80% of the aquarium or 80 % 2 V = 5 \dfrac {80\%}2 V = 5 liters. Therefore V = 5 × 2 80 % = 10 0.8 = 12.5 V = 5 \times \dfrac 2{80\%} = \dfrac {10}{0.8} = \boxed{12.5} liters.

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Thank you Sir.

Hana Wehbi - 3 years, 3 months ago

Let x x be the volume when the aquarium is full of water. Then

0.8 x = 5 + 5 = 10 liters 0.8x=5+5=10~\text{liters}

x = 10 0.8 = 12.5 liters x=\dfrac{10}{0.8} = \boxed{12.5~\text{liters}}

2 Helpful 0 Interesting 1 Brilliant 0 Confused

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