Opal and Penelope have $322. Joelle and Opal have $361. The ratio of Penelope to Joelle is 2 : 5. How much does Opal have?
Amount that Penelope has = 2 u
Amount that Joelle has = 5 u
The amount that Opal has is the repeated identity.
Opal + 2 u = 322 --- (1)
Opal + 5 u = 361 --- (2)
(2) - (1)
5 u - 2 u = 361 - 322
3 u = 39
1 u = 39 ÷ 3 = 13
From (1):
Opal + 2 u = 322
Opal + 2 x 13 = 322
Opal + 26 = 322
Amount that Opal has
= 322 - 26
= $296
Answer(s): $296
