Shannon and Abi have $241. Natalie and Shannon have $257. The ratio of Abi to Natalie is 2 : 3. How much does Shannon have?
Amount that Abi has = 2 u
Amount that Natalie has = 3 u
The amount that Shannon has is the repeated identity.
Shannon + 2 u = 241 --- (1)
Shannon + 3 u = 257 --- (2)
(2) - (1)
3 u - 2 u = 257 - 241
1 u = 16
From (1):
Shannon + 2 u = 241
Shannon + 2 x 16 = 241
Shannon + 32 = 241
Amount that Shannon has
= 241 - 32
= $209
Answer(s): $209
