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?

Answers

80 %  

Step-by-step explanation:

Let G₇= games won in 2007

In 2008

G₈ = G₇ + 20 % of G₇

    = G₇ + 0.20G₇

    = G₇(1 + 0.20)

    =1.20G₇

In 2009

G₉ = G₈ + 50 % of G₈

    = G₈ + 0.50G₈

    = G₈(1 + 0.50)

    = 1.50G₈     Substitute the value of G₈

    = 1.50(1.20G₇)

    = 1.80G₇

    = G₇(1 + 0.80)

    = G₇ + 0.80G₇

In 2009, the team won 80 % more games than in 2007.

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

\frac{100+20}{100}\times 100\\\\=\frac{120}{100}\times 100\\\\=120

Percentage of more games won in 2009 = 50%

Number of games won in 2009 will be given by

\frac{100+50}{100}\times 120\\\\=\frac{150}{100}\times 120\\\\=1.5\times 120\\\\=180

Overall increase from 2007 through 2009 is given by

180-100\\\\=80

Overall percentage increase from 2007 through 2009 is given by

\frac{Difference}{Original}\times 100\\\\=\frac{80}{100}\times 100\\\\=80\%

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



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