the hockey team has been great! in 2008 they won 20% more games than in 2007. in 2009 they won 50% more games than in 2008. what was their overall percentage increase from 2007 through 2009?

Respuesta :

Answer: There is overall percentage increase is 80% from 2007 through 2009.

Step-by-step explanation:

Let the total games won in 2007 be 100

Percentage of more games won in 2008 = 20%

Number of games won in 2008 will be given by

[tex]\frac{100+20}{100}\times 100\\\\=\frac{120}{100}\times 100\\\\=120[/tex]

Percentage of more games won in 2009 = 50%

Number of games won in 2009 will be given by

[tex]\frac{100+50}{100}\times 120\\\\=\frac{150}{100}\times 120\\\\=1.5\times 120\\\\=180[/tex]

Overall increase from 2007 through 2009 is given by

[tex]180-100\\\\=80[/tex]

Overall percentage increase from 2007 through 2009 is given by

[tex]\frac{Difference}{Original}\times 100\\\\=\frac{80}{100}\times 100\\\\=80\%[/tex]

Hence, there is overall percentage increase is 80% from 2007 through 2009.