P5/P6 Math: Starting Total Known with Both Parties undergoing Fractional Decrease

A total of 2 parties is given.
Each of the 2 parties undergo different fractional decrease.
The comparison between the amount left is given as multiple of another.

Such questions are common in Paper 2 of P5 and P6 exams.
Calculator usage is allowed.

Similar questions of this type can also be found here.

Jayden and Keane have a total of $2024.
After Jayden spent 2/5 of his money on a gaming console and
Keane spent 3/4 of his money on a phone, 
Jayden has twice as much money left as Keane.

How much did Jayden have at first?


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