Question 1148983
<br>
(1) Using formal algebra....<br>
(You should understand how to set up and solve mixture problems like this using a formal algebraic method.)<br>
No additional salt was added; so the 8% of the original 500g needs to be 5% of the final (500+x)g:<br>
{{{.08(500) = .05(500+x)}}}<br>
You can finish the basic algebra to get the answer that way.<br>
(2) Using logical reasoning....<br>
If just getting the answer fast is what is important, and a formal algebraic solution is not required, then logical analysis will get you to an answer quickly.<br>
(a) The final mixture percentage (5%) is 5/8 of the original percentage (8%).
(b) Since no salt was added, the original 500g must be 5/8 of the final mixture.
(c) 5/8 of the final mixture = 500g means the other 3/8 of the final mixture (the water that was added) is 300g.<br>
ANSWER: 300g of water were added.<br>