Cucumbers

You had 10lbs of cucumbers, each of which consisted of 99% water. After leaving them in the sun, some of the water in the cucumbers evaporated. If the cucumbers ended up with 98% water in them, how much of their weight did they lose?

The cucumbers lost half of their weight.

If the water was 99% of the total weight, the remaining substance must have weighed 0.1lbs. If after the evaporation the substance comprises 2% = 1/50 of the cucumbers, the total weight must be 50 x 0.1lbs = 5lbs.

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Torvus
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Torvus

I’m calling bull. So in your equation your saying that 9.9 lbs of water weight subtract how much weight was lost (being X) would be equal to 10 lbs of overall weight subtract how much weight was lost (being X) multiplied by a how much water weight there was? The problem is that you don’t just randomly multiply how much water weight is left, that’s dumb. You over complicated something to try and appear intelligent. If we are trying to solve how much weight is lost we write the equation as follows. 10lbs of total weight – X = 9.9lbs… Read more »

Joshua Price
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Joshua Price

An easy way of thinking about it is this:
Pre-sun: 99% water and 1% plant stuff.
After-sun: 98% water and 2% plant stuff.

In this case you’ve lost so much water that your ratio has changed by 1%. You’ve doubled your plant stuff(1% to 2%). The only way to double your plant stuff is to reduce your water mass by half. So you once had 10lbs of cucumbers now you have 5lbs of cucumbers. You lost 5lbs of water and you haven’t lost any plant stuff.

uttej
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uttej

Can you please elaborate.