Zara and Elyse have $160. Risa and Zara have $176. The ratio of Elyse to Risa is 2 : 3. How much does Zara have?
Amount that Elyse has = 2 u
Amount that Risa has = 3 u
The amount that Zara has is the repeated identity.
Zara + 2 u = 160 --- (1)
Zara + 3 u = 176 --- (2)
(2) - (1)
3 u - 2 u = 176 - 160
1 u = 16
From (1):
Zara + 2 u = 160
Zara + 2 x 16 = 160
Zara + 32 = 160
Amount that Zara has
= 160 - 32
= $128
Answer(s): $128
