a soccer league has 60 returning players and 36 new players. each team will have the same ratio of returning players to new players as the league has. how many new players will a team with 10 returning players have?
sophia says that you can solve the problem in the example by multiplying both quantities in the ratio 60:36 by 1/6. is sophia correct?

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KarpaT KarpaT · Answer 1 · 2022-08-25T15:09:17+02:00

A team with 10 returning players will have 6 new players.

Sophia's statement is correct.

60 x (1/6) = 10

36 x (1/6) = 6

Given,

A soccer league has,

Number of returning players = 60

Number of new players = 36

Given that,

Each team will have the same ratio of returning players to new players.

Then,

Ratio of returning players to new players = 60:36

60:36 = 10:6 = 5:3

A team contains 10 new players.

Now we have to find the number of returning players.

We have the common ratio 5:3

We know that,

Number of returning players = 5 × 2 = 10

Then, number of new players = 3 × 2 = 6

Sophia's statement is correct.

That is,

60 × (1/6) = 10

36 × (1/6) = 6

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