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A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to finish the season with a 90% winning percentage?

Respuesta :

[tex]\frac{(15 * 0.8) + x}{30} = 0.9 [/tex]
[tex]12+x=27[/tex]
[tex]x=15[/tex]

They have alrady won 12 games (80% of 15) and need to win 15 more. 

Check:
[tex]\frac{15+12}{30}=\frac{27}{30} = 90\%[/tex]

15 more games must win to finish the season with a 90% winning percentage.

Given that,

A basketball team played 15 games and won 80% of them.

If the team expects to play 30 games in all,

We have to determine,

How many more games must it win to finish the season with a 90% winning percentage.

According to the question,

A basketball team played 15 games and won 80% of them.

If the team expects to play 30 games in all,

Then,

Games must win to finish the season with a 90% winning percentage.

[tex]= \dfrac{15\times \dfrac{80}{100}+x }{30} = \dfrac{90}{100}\\\\= \dfrac{15\times 0.8+x }{30} = 0.9\\\\= 12+ x= 0.9 \times 30\\\\= 12 + x = 27\\\\= x = 27-12\\\\x = 15[/tex]

Hence, 15 more games must win to finish the season with a 90% winning percentage.

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