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3 years ago

8

Raj and Aditi like to play chess against each other. Aditi has won 12 of the 20 games so far. They decide to play more games. Ho

w many more games will Aditi have to win to have a 70% winning record? 12 + x = 0.70(20 + x) x = ≈ 6.67 She will have to win 7 more games to have a 70% winning record. How many more games will Aditi have to win to have an 80% winning record? The linear equation that models this is . Aditi would have to win more games to have an 80% winning record.

2 answers:

Over [174]3 years ago

4 0

12 + x = 0.80(20+x)
12 + x = 16 + 0.80x
12 = 16 -0.2x
-4 = -0.2x

x = -4/-0.2 = 20
they need to win 20 more games

Ugo [173]3 years ago

4 0

Answer:

20

Step-by-step explanation:

We are given that she have to win games to have a 70% winning record :

$12 + x = 0.70(20 + x)$

$x = 6.67$

So, She will have to win 7 more games to have a 70% winning record.

Now we are supposed to find how many more games will she have to win to have an 80% winning record

So, equation becomes:

$12 + x = 0.80(20 + x)$

$12 + x = 16 + 0.8x$

$x-0.8x= 16 -12$

$0.2x= 4$

$x= \frac{4}{0.2}$

$x=20$

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