Tina and Rachel have $358. Dana and Tina have $373. The ratio of Rachel to Dana is 4 : 5. How much does Tina have?
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Amount that Rachel has = 4 u
Amount that Dana has = 5 u
The amount that Tina has is the repeated identity.
Tina + 4 u = 358 --- (1)
Tina + 5 u = 373 --- (2)
(2) - (1)
5 u - 4 u = 373 - 358
1 u = 15
From (1):
Tina + 4 u = 358
Tina + 4 x 15 = 358
Tina + 60 = 358
Amount that Tina has
= 358 - 60
= $298
Answer(s): $298