Gwen and Tina have $178. Nora and Gwen have $214. The ratio of Tina to Nora is 1 : 4. How much does Gwen have?
Amount that Tina has = 1 u
Amount that Nora has = 4 u
The amount that Gwen has is the repeated identity.
Gwen + 1 u = 178 --- (1)
Gwen + 4 u = 214 --- (2)
(2) - (1)
4 u - 1 u = 214 - 178
3 u = 36
1 u = 36 ÷ 3 = 12
From (1):
Gwen + 1 u = 178
Gwen + 1 x 12 = 178
Gwen + 12 = 178
Amount that Gwen has
= 178 - 12
= $166
Answer(s): $166
