Yen and Penelope have $306. Winnie and Yen have $316. The ratio of Penelope to Winnie is 2 : 3. How much does Yen have?
Amount that Penelope has = 2 u
Amount that Winnie has = 3 u
The amount that Yen has is the repeated identity.
Yen + 2 u = 306 --- (1)
Yen + 3 u = 316 --- (2)
(2) - (1)
3 u - 2 u = 316 - 306
1 u = 10
From (1):
Yen + 2 u = 306
Yen + 2 x 10 = 306
Yen + 20 = 306
Amount that Yen has
= 306 - 20
= $286
Answer(s): $286
