Kimberly and Zara have $209. Dana and Kimberly have $239. The ratio of Zara to Dana is 4 : 7. How much does Kimberly have?
Amount that Zara has = 4 u
Amount that Dana has = 7 u
The amount that Kimberly has is the repeated identity.
Kimberly + 4 u = 209 --- (1)
Kimberly + 7 u = 239 --- (2)
(2) - (1)
7 u - 4 u = 239 - 209
3 u = 30
1 u = 30 ÷ 3 = 10
From (1):
Kimberly + 4 u = 209
Kimberly + 4 x 10 = 209
Kimberly + 40 = 209
Amount that Kimberly has
= 209 - 40
= $169
Answer(s): $169
