SOLUTION: Dave and Cindy played 53 games of backgammon last month. Dave's ratio of wins to losses was 37/16. If Dave and Cindy play 10 more games, write a proportion to determine how many

Question 364913: Dave and Cindy played 53 games of backgammon last month. Dave's ratio of wins to losses was 37/16.
If Dave and Cindy play 10 more games, write a proportion to determine how many of these 10 games dave could expect to win.
Determine how many more games Dave and Cindy must play before Cindy will have won a total of 28 games.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Dave and Cindy played 53 games of backgammon last month.
Dave's ratio of wins to losses was 37/16.
If Dave and Cindy play 10 more games, write a proportion to determine how many
of these 10 games dave could expect to win.
:
If the proportion remains the same for these 10 games:
* 10 ~ 7 games
:
:
Determine how many more games Dave and Cindy must play before Cindy will have
won a total of 28 games.
Let x = no. of additional games for this to happen
=
Cross multiply
16(x+53) = 28 * 53
16x + 848 = 1484
16x = 1484 - 848
x =
x ~ 40 more games
:
:
Check this:
original per cent: 16/53 ~ .3
40 more games percent: 28/93 ~ .3

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