Natalie and Mary have $167. Barbara and Natalie have $183. The ratio of Mary to Barbara is 4 : 5. How much does Natalie have?
Amount that Mary has = 4 u
Amount that Barbara has = 5 u
The amount that Natalie has is the repeated identity.
Natalie + 4 u = 167 --- (1)
Natalie + 5 u = 183 --- (2)
(2) - (1)
5 u - 4 u = 183 - 167
1 u = 16
From (1):
Natalie + 4 u = 167
Natalie + 4 x 16 = 167
Natalie + 64 = 167
Amount that Natalie has
= 167 - 64
= $103
Answer(s): $103
