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 t

Question

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?

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Philomena 4 years 2021-09-02T16:44:54+00:00 1 Answers 5 views 0

Answers ( )

  1. yenoanh
    0
    2021-09-02T16:46:25+00:00
    Reply

    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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