Wendy and Marion have $294. Tammy and Wendy have $309. The ratio of Marion to Tammy is 3 : 4. How much does Wendy have?
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Amount that Marion has = 3 u
Amount that Tammy has = 4 u
The amount that Wendy has is the repeated identity.
Wendy + 3 u = 294 --- (1)
Wendy + 4 u = 309 --- (2)
(2) - (1)
4 u - 3 u = 309 - 294
1 u = 15
From (1):
Wendy + 3 u = 294
Wendy + 3 x 15 = 294
Wendy + 45 = 294
Amount that Wendy has
= 294 - 45
= $249
Answer(s): $249