stephaniesmile8
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The average weight of David, Esther, and Henry is 42.6 kg. Esther is twice as heavy as Henry. David is 5.2 kilograms lighter than Esther, what is Esther's weight?

Respuesta :

sqdancefan

Answer:

  53.2 kg

Step-by-step explanation:

Let E represent Esther's weight. Then Henry's weight is E/2, and David's weight is E-5.2. Their average weight is ...

  ((E-5.2) + E + (E/2))/3 = 42.6

  2.5E -5.2 = 127.8 . . . . . . . . . . multiply by 3, simplify

  2.5E = 133 . . . . . . . . . . . . . . . . add 5.2

  E = 133/2.5 = 53.2 . . . . kg

Esther's weight is 53.2 kg.

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