Question

Forty percent of the players on a soccer team are experienced players. The coach wants to increase this percent. There are 10 players on the team now. The expression below represents the percent of experienced players on the team after the coach adds x experienced players.
100(x+4)/x+10

What is:
a. Original ratio of experienced to total players
b. Final ratio of experienced to total players
c. Final total number of players

Choices

4/10
x+10
4
10
x+4/x+10

Answer 1

Part A:

Given that forty percent of the players on a soccer team are experienced players.

Then, the original ratio of experienced to total players is given by 40/100 = 4/10



Part B:

Given that the expression $\frac{100(x+4)}{x+10}$ represents the percent of experienced players on the team after the coach adds x experienced players.

Then, the final ratio of experienced to total players is given by:

$\frac{\frac{100(x+4)}{x+10}}{100} =\frac{x+4}{x+10}$



Part C:

Given that there are 10 players on the team now, and that the coach adds x experienced player, then the number of players on the team now is given by:

10 + x.