The amount of water decreases [tex]16\frac{1}{2}[/tex] pints in 12 weeks.
Solution:
The amount of water decreases in 7 weeks = [tex]9\frac{5}{8}[/tex] pints
The amount of water decreases each week is same.
Let us first change the mixed fraction into improper fraction.
[tex]9\frac{5}{8}[/tex] pints = [tex]\frac{(9\times8)+5}{8}[/tex]
[tex]=\frac{77}{8}[/tex] pints
The amount of water decreases in 1 week
[tex]$=\frac{\frac{77}{8} }{7}[/tex]
[tex]=\frac{77}{8\times7}[/tex]
[tex]=\frac{11}{8}[/tex]
So, the amount of water decreases in 1 week is [tex]\frac{11}{8}[/tex] pints.
The amount of water decreases in 12 week
[tex]=\frac{11}{8}\times12[/tex]
[tex]=\frac{132}{8}[/tex]
[tex]=16\frac{4}{8}[/tex]
[tex]=16\frac{1}{2}[/tex] pints
Hence the amount of water decreases [tex]16\frac{1}{2}[/tex] pints in 12 weeks.
