Jen and Lucy have $233. Winnie and Jen have $245. The ratio of Lucy to Winnie is 3 : 4. How much does Jen have?
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Amount that Lucy has = 3 u
Amount that Winnie has = 4 u
The amount that Jen has is the repeated identity.
Jen + 3 u = 233 --- (1)
Jen + 4 u = 245 --- (2)
(2) - (1)
4 u - 3 u = 245 - 233
1 u = 12
From (1):
Jen + 3 u = 233
Jen + 3 x 12 = 233
Jen + 36 = 233
Amount that Jen has
= 233 - 36
= $197
Answer(s): $197