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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?

Respuesta :

SamuelS
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

The number of medals won so far by short athletes is 15.

The total medals that was won by the  athletics team is the sum of the medals won by the tall members and the short members of the athletics team.

Total medals won = medals won by short people + medals won by tall people.

Let s represent the medals won by short people.

Medals won by tall people = 3 x s = 3s

Substitute for the representations in the above equation

60 = s + 3s

Add similar terms

60 = 4s

Divide both sides by 4

60 / 4 = s

s = 15

A similar question was answered here: https://brainly.com/question/18518375?referrer=searchResults

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