SOLUTION: Fertilizing potplants it's 40ml to every 8/9L of water. I only have a 2L capacity. How many ml do I measure please :)

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Question 785456: Fertilizing potplants it's 40ml to every 8/9L of water. I only have a 2L capacity. How many ml do I measure please :)

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of (fertilizer mL) to liters of water is 40 to 8/9.
Water volume will be measured in liters, fertilizer in milliliters,
No conversions needed.

IF IT IS A REAL LIFE PROBLEM,
The bucket probably has some graduation lines to roughly measure the amount of water, marking 1L, 1%261%2F2L, 1%263%2F4L.
I would just double both quantities.
I would measure 2%2A%288%2F9%29=16%2F9=1%267%2F9 liters of water.
That's between 1%263%2F4=1.75 and 1.8 liters, because
2%2A16%2F9=1%267%2F9=1.777%22.....%22
and you hopefully have markings for 1%263%2F4L or 1.8L on the bucket.I would mix into that 2%2A40ML=+80mL fertilizer.
That is 1/3 of a cup.
If you could only measure exactly 2L, ask a friendly chemist (like me) to borrow a graduate cylinder to measure 86mL of fertilizer (calculated below) and dilute that to the 2L mark with water.

IF IT IS A MATH CLASS PROBLEM,
you are probably expected to calculate how to make a full 2.0L of dilued fertilizer.
2L%281000mL%2F%28%221+L%22%29%29=8000%2F9mL of water-fertilizer mix is desired.
8%2F9L%281000mL%2F%28%221+L%22%29%29=8000%2F9mL of water
When that amount of water is mixed with 40mL fertilizer, you get
8000%2F9mL%2B40mL=8000%2F9mL%2B360%2F9mL=8360%2F9mL mix
The fertilizer to final mix ratio (both volumes in mL) is
40%2F%28%288360%2F9%29%29
(For a nathematically exact answer, we need to work with fractions.
If you are expected/allowed to approximate to a decimal, you could use 929, or 928.9, or 928.888... with up to as many digits as your calculator can handle).

x = mL of fertilizer to be mixed with water.
The proportion to find how much fertilizer to use for 2L (2000mL) of diluted fertilizer is
x%2F2000=40%2F%28%288360%2F9%29%29
x%2F2000=40%289%2F8360%29
x%2F2000=40%2A9%2F8360%29
x=2000%2A40%2A9%2F8360%29
Simplifying
x=2000%2A4%2A9%2F836%29
x=2000%2A9%2F209%29
x=18000%2F209=%22approx.%2286mL%29