Dana and Min have $174. Elyse and Dana have $238. The ratio of Min to Elyse is 1 : 5. How much does Dana have?
Amount that Min has = 1 u
Amount that Elyse has = 5 u
The amount that Dana has is the repeated identity.
Dana + 1 u = 174 --- (1)
Dana + 5 u = 238 --- (2)
(2) - (1)
5 u - 1 u = 238 - 174
4 u = 64
1 u = 64 ÷ 4 = 16
From (1):
Dana + 1 u = 174
Dana + 1 x 16 = 174
Dana + 16 = 174
Amount that Dana has
= 174 - 16
= $158
Answer(s): $158
