Gillian and Yen have $201. Jade and Gillian have $214. The ratio of Yen to Jade is 1 : 2. How much does Gillian have?
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Amount that Yen has = 1 u
Amount that Jade has = 2 u
The amount that Gillian has is the repeated identity.
Gillian + 1 u = 201 --- (1)
Gillian + 2 u = 214 --- (2)
(2) - (1)
2 u - 1 u = 214 - 201
1 u = 13
From (1):
Gillian + 1 u = 201
Gillian + 1 x 13 = 201
Gillian + 13 = 201
Amount that Gillian has
= 201 - 13
= $188
Answer(s): $188