Jane and Natalie have $299. Diana and Jane have $347. The ratio of Natalie to Diana is 4 : 7. How much does Jane have?
Amount that Natalie has = 4 u
Amount that Diana has = 7 u
The amount that Jane has is the repeated identity.
Jane + 4 u = 299 --- (1)
Jane + 7 u = 347 --- (2)
(2) - (1)
7 u - 4 u = 347 - 299
3 u = 48
1 u = 48 ÷ 3 = 16
From (1):
Jane + 4 u = 299
Jane + 4 x 16 = 299
Jane + 64 = 299
Amount that Jane has
= 299 - 64
= $235
Answer(s): $235
