Theta taa factroy produces equal number of 1/4kg packets and 1/2kg packets of tea. How many 1/4kg packets were produced from a totol of 45 tonnes of tea.
number of 1/2 lb packs ---- x
number of 1/4 lb packs ---- 2x
x + 2x = 45000 (1000 kg = 1 tonne)
3x = 45000
x = 15000
so .....
To solve this problem, we need to understand the relationship between the weights of the different packets of tea.
We know that the factory produces an equal number of 1/4 kg packets and 1/2 kg packets of tea.
Let's first convert 45 tonnes to kilograms. Since 1 tonne is equal to 1000 kilograms, we have:
45 tonnes = 45 * 1000 kg = 45,000 kg
Let's denote the number of 1/4 kg packets as x (since the factory produces an equal number of these packets).
Now, we can set up an equation based on the total weight of the tea:
(x * 1/4) + (x * 1/2) = 45,000
Simplifying this equation, we have:
(1/4 + 1/2) * x = 45,000
(3/4) * x = 45,000
To isolate x, we can multiply both sides of the equation by the reciprocal of (3/4), which is 4/3:
x = (45,000) * (4/3)
Calculating this, we find:
x = 60,000
Therefore, the factory produced 60,000 packets of 1/4 kg tea.