Nicole and Mary have $260. Hazel and Nicole have $280. The ratio of Mary to Hazel is 2 : 3. How much does Nicole have?
Amount that Mary has = 2 u
Amount that Hazel has = 3 u
The amount that Nicole has is the repeated identity.
Nicole + 2 u = 260 --- (1)
Nicole + 3 u = 280 --- (2)
(2) - (1)
3 u - 2 u = 280 - 260
1 u = 20
From (1):
Nicole + 2 u = 260
Nicole + 2 x 20 = 260
Nicole + 40 = 260
Amount that Nicole has
= 260 - 40
= $220
Answer(s): $220
