In an athletics team, tall members are three times more likely to win a medal than short members. this year the team has won 60 medals so far. how many of these have been won by short athletes?

Question

Mathematics

Clarissa Hawkins

11 August, 17:52

In an athletics team, tall members are three times more likely to win a medal than short members. this year the team has won 60 medals so far. how many of these have been won by short athletes?

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Answers (1)

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Andreas Bailey · Answer 1

Well lets say y = the amount of medals won. lets say x is the amount won by short people and z is the amount won by tall. we know that the total medals is the total medals won by short and tall so:

y = x + z

it says that tall people are 3. times more likely. this would mean they won three times more than short people. so

z = 3x.

so if we know what z equals, we can replace z with what it is equal to. so:

y = x + z

y = x + 3x

y = 4x

we know that 60 medals were won so

y = 4x

60 = 4x

x = 15

that is the amount won by short people