Usha and Tina have $223. Wendy and Usha have $233. The ratio of Tina to Wendy is 2 : 3. How much does Usha have?
Amount that Tina has = 2 u
Amount that Wendy has = 3 u
The amount that Usha has is the repeated identity.
Usha + 2 u = 223 --- (1)
Usha + 3 u = 233 --- (2)
(2) - (1)
3 u - 2 u = 233 - 223
1 u = 10
From (1):
Usha + 2 u = 223
Usha + 2 x 10 = 223
Usha + 20 = 223
Amount that Usha has
= 223 - 20
= $203
Answer(s): $203