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Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?

Respuesta :

mhanifa

Answer:

  • 27 years old

Step-by-step explanation:

  • Full question is
  • Daniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel?

Solution

Daniel = d, Sara = s, Luke = l, Rachel = r

We get below relations:

  • d = 0.15s
  • l = 0.75s
  • r = 3d ⇒ r = 3*0.15s  ⇒ r = 0.45s

Sum of ages:

  • d + s + l + r = 141

Substitute and solve for s:

  • 0.15s + s + 0.75s + 0.45s = 141
  • 2.35s = 141
  • s = 141/2.35
  • s = 60

Rachel's age is:

  • r = 0.45*60 = 27

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