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

A. 4/10
B. x+4/x+10
C. x+10

The ratio is the relation between numbers. 40/100 is simplified to 4/10 (40%)

Answer 2

Currently there are 10 players in the team. 40% is experienced, so total experience player is $(0.4)(10)=4$.

After addition of "x" players in the team, the percentage of experienced player on the team would be $\frac{4+x}{10+x} * 100$.

A. Original ratio of experienced to total players:

There are 4 experienced player (as we figured out earlier) and total 10 players, so the original ratio would be $\frac{4}{10}$

B. Final ratio of experienced to total players:

Final ratio means after adding "x" players. So experienced players would increase by "x" from 4, and total would also increase by "x" from 10. So we have $\frac{x+4}{x+10}$ as the final ratio

C. Final total number of players:

Initially there were 10 players and after adding "x" to them, we have $x+10$ players as total

ANSWER:

A. $\frac{4}{10}$

B. $\frac{x+4}{x+10}$

C. $x+10$