The experimental probability that Mindy will win a game of chance is 2/5. The experimental probability that James will win the game of chance is 5/8. If they each play 200 games, who will win more games and by how much?
work:
I made 2 proportions
2/5 = x/200
5x = 400/5
x = 80
5/8 = x/200
8x = 1000/8
x = 125
then I subtracted 125 - 80 = 45
Answer: James will win more games, by 45 games.
Is this correct?
yes it is.
thank you!
Yes, your calculation is correct.
To find out who will win more games, you made two separate proportions.
For Mindy, you set up the proportion as 2/5 = x/200, where x represents the number of games Mindy will win out of 200. By cross-multiplying, you found that x is equal to 80. This means that Mindy will win 80 out of the 200 games.
For James, you set up the proportion as 5/8 = x/200. Again, by cross-multiplying, you found that x is equal to 125. This means that James will win 125 out of the 200 games.
To determine who wins more games, you subtracted the number of games that Mindy wins from the number of games that James wins: 125 - 80 = 45. So, James will win more games than Mindy, by a difference of 45 games.