75 liter of kerosene oil and 25 liter of petrol have to be kept in Tins of identical size such that two kinds of oil do not get mixed.How many tons will be required at least ?how much oil will each tin hold?
Answers
Step-by-step explanation:
Given
Amount of kerosene = 75 liters
Amount of petrol = 25 liters
Calculation
1. Capacity of tin
Let x liter is the capacity of a tin.
The two oil should not be mixed in any tin, so 75 and 25 should be divisible by x. In this way all tins will be completely filled and the two oil will not mix up.
The number of tin must be least, so x must be as large as possible.
Therefore x is the largest number which divides both 75 and 25 which is exactly the definition of HCF. Hence
x = HCF(25, 75)
or x = 25 liters.
2. Number of tins
Now we know that capacity of tin = 25 liters
No. of tin required for kerosene
= quantity of kerosene/capacity of tin
= 75 liters/25 liters
= 3 tins
No of tin required for petrol
= quantity of petrol/capacity of tin
= 25 liters/25 liters
= 1 tins
Total number of tin required = 3 + 1 = 4 tins
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