Fractions and ratio

Algebra Level 3

Avery, Ben and Carly bought a gift.
Avery paid \(\frac15\) of the cost of the gift.
Ben paid \(\frac57\) of the amount of money Avery paid.
The amount of money Carly paid to the amount of money Avery and Ben paid is 23:12.
Carly paid $192 more than Avery . What was the cost of the gift?

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