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How many gallons of water must be evaporated from 100 gallons of 75% salt solution to increase the concentration to 90% ?

Sagot :

Answer:

17

Step-by-step explanation:

If a container holds 100 of salt and 75% of it is salt, then the amount of salt is 0.75 * 100.

Amount of salt in initial solution: 0.75 * 100 = 75

If we evaporate some X amount of water, we will get that 75 is 90% of the remaining water. Let that remaining amount of water be y mL. So 90% of the y remaining solution is going to also be 75.

75 = 0.90y

We can rearrange this by dividing by 0.75 on both sides.

75/0.90 = 0.75y/0.90

The 0.90 on the right cancel and we are left with:

75/0.90 = 83

So, the initial 75% salt solution had 100 .

The ending 90% salt solution is 83 .

So the amount of water that needs to be evaporated is 17

I just copy it but I rearranged it