Emma and Natalie have $299. Jane and Emma have $325. The ratio of Natalie to Jane is 1 : 3. How much does Emma have?
Amount that Natalie has = 1 u
Amount that Jane has = 3 u
The amount that Emma has is the repeated identity.
Emma + 1 u = 299 --- (1)
Emma + 3 u = 325 --- (2)
(2) - (1)
3 u - 1 u = 325 - 299
2 u = 26
1 u = 26 ÷ 2 = 13
From (1):
Emma + 1 u = 299
Emma + 1 x 13 = 299
Emma + 13 = 299
Amount that Emma has
= 299 - 13
= $286
Answer(s): $286
