Tina and Pamela have $145. Tammy and Tina have $160. The ratio of Pamela to Tammy is 2 : 3. How much does Tina have?
Amount that Pamela has = 2 u
Amount that Tammy has = 3 u
The amount that Tina has is the repeated identity.
Tina + 2 u = 145 --- (1)
Tina + 3 u = 160 --- (2)
(2) - (1)
3 u - 2 u = 160 - 145
1 u = 15
From (1):
Tina + 2 u = 145
Tina + 2 x 15 = 145
Tina + 30 = 145
Amount that Tina has
= 145 - 30
= $115
Answer(s): $115
