Pamela and Joelle have $198. Opal and Pamela have $231. The ratio of Joelle to Opal is 4 : 7. How much does Pamela have?
Amount that Joelle has = 4 u
Amount that Opal has = 7 u
The amount that Pamela has is the repeated identity.
Pamela + 4 u = 198 --- (1)
Pamela + 7 u = 231 --- (2)
(2) - (1)
7 u - 4 u = 231 - 198
3 u = 33
1 u = 33 ÷ 3 = 11
From (1):
Pamela + 4 u = 198
Pamela + 4 x 11 = 198
Pamela + 44 = 198
Amount that Pamela has
= 198 - 44
= $154
Answer(s): $154
