when a barrel is 1/5 full it holds 16 litres.how many litres will it hold when 1/2 full
0.2/16 = 0.5/x
Cross multiply and solve for x.
0.2x = 8
x - 8/0.2
x = ________ litres
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To find out how many liters the barrel will hold when it is 1/2 full, we first need to determine the capacity of the barrel when it is completely full.
Given that the barrel is 1/5 full and holds 16 liters, we can assume that 1/5 of the barrel's capacity is equal to 16 liters.
To find the capacity of the entire barrel, we need to divide 16 liters by 1/5. Dividing by 1/5 is the same as multiplying by the reciprocal, which is 5/1.
16 liters ÷ 1/5 = 16 liters × 5/1 = 80 liters
So the capacity of the barrel, when it is completely full, is 80 liters.
Next, to determine how many liters the barrel will hold when it is 1/2 full, we need to calculate half of its capacity.
Half of 80 liters can be found by dividing it by 2:
80 liters ÷ 2 = 40 liters
Therefore, when the barrel is half full, it will hold 40 liters.