Question

a water tank contains 24 liters when 60% full.how many liters of water does it contain when full?
a.30L
b.40L
c.50L
d.60L​

Answer 1

Answer:

1

1

A water container is 1/8 full. 45 litres of water are poured into the container. The container is now 3/4 full. When the container is full, how much water does it hold?

The more you know, the better you grow.

William Mccoy

Answered March 2, 2018

A water container is 1/8 full. 45 litres of water are poured into the container. The container is now 3/4 full. When the container is full, how much water does it hold?

45 litres = 3/4 full - 1/8 full

= 6/8 full = 1/8 full

= (6 - 1)/8 full

45 litres = 5/8 full

Now, since the number of liters of water that the container holds is directly proportional to how full the container is, e.g., 3/4 full, we can set up the following proportion to determine how many litres, n, the container holds when it is full:

45 litres/(5/8 full) = n/(1 full)

45 litres/(.625 full) = n/(1.00 full) (1.00 full means 100% full and .625 full means 62.5% full)

(1.00 full)[45 litres/(.625 full)] = (1.00 full)[n/(1.00 full)]

45 litres (1.00 full/.625 full) = [(1.00 full/(1.00 full)]n

45 litres (1.00/.625) = [1.00]n

45 litres(1.00/.625) = n

(45/.625) litres = n