, 22.06.2019tylerbrewton23

# 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?

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

Percentage of more games won in 2009 = 50%

Number of games won in 2009 will be given by

Overall increase from 2007 through 2009 is given by

Overall percentage increase from 2007 through 2009 is given by

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

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