Q1. Word problems
a) A container holds 50.85 litres of water. Out of it, 32.5 litres of water is used
How much water does water does the container still hold?
Answers
Answer:
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
n = 72 litres is the number of litres of water that the container holds when it is full, i.e., 100% full.
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Answer:
A Container holds 50.85 litres..
Out of it 32.5 litres use
SO,
WE HAVE TO SUBTRACT TOTAL WATER IN CONTAINER - USED WATER.
THEREFORE 50.85-32.05=42.90
Step-by-step explanation:
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