GuruXpert Academy
O-Level Mathematics
ZIMSEC • Cambridge • GCSE • Other Syllabuses
ZIMSEC • Cambridge • GCSE • Other Syllabuses
RATIO
Question
Peter and John share money in the ratio 2 : 3 and Peter’s share is twice Anna’s.
If Anna gets $21.00, how much is shared?
Solution
Peter : P
John : J
Anna : A
John : J
Anna : A
Condition 1:
P : J = 2 : 3
Condition 2:
P = 2A, A = $21.00
Algebraic Application
Actual Working
P = 2A
P = 2($21.00)
P = $42.00
Substitute P = 2A in P : J = 2 : 3
2A : J = 2 : 3
2A / J = 2 / 3
J = 3A
J = 3($21.00)
J = $63.00
Amount shared = $21.00 + $42.00 + $63.00
Amount shared = $126.00
Final Answer
$126.00
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