Hazel and Shannon have $193. Gem and Hazel have $206. The ratio of Shannon to Gem is 2 : 3. How much does Hazel have?
Amount that Shannon has = 2 u
Amount that Gem has = 3 u
The amount that Hazel has is the repeated identity.
Hazel + 2 u = 193 --- (1)
Hazel + 3 u = 206 --- (2)
(2) - (1)
3 u - 2 u = 206 - 193
1 u = 13
From (1):
Hazel + 2 u = 193
Hazel + 2 x 13 = 193
Hazel + 26 = 193
Amount that Hazel has
= 193 - 26
= $167
Answer(s): $167
