Pls help a brother out!
2 answers:
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Let 
be the length of the rectangle and 
be the width. In the problem it is given that 
. It is also given that the area 
. Substituting in the length in terms of width, we have 
. Using the zero product property, 
. Solving these we get the width 
. However, it doesn't make sense for the width to be negative, so the width must be 
. From that we can tell the length 
.
30 ounces of the coffee John likes consists of
ounces of water
ounces of cocoa
To this mixture we're adding ounces of water, so that the new mix has a total volume of
ounces and matches the composition of the coffee Lily likes. This means it would consist of
ounces of water
ounces of cocoa (same amount of cocoa as before because pure water is being added)
Solve for :
###
Just to confirm: the new mixture consists of
ounces of water
ounces of cocoa
giving a total volume of ounces of coffee, and
, as required.