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Verified Answer :

Given: 
3/7 of money spent on game
$16 money left.

7/7 - 3/7 = 4/7 is the fraction of the money left.

$
16 is the money left. We need to get the whole value before we get the equivalent value of 3/7

16 ÷ 4/7 ⇒ 16 7/4 = (167)/4 = 112/4 = $28 original amount of money.

28 x 3/7 = (28*3)/7 = 84/7 = $12 amount of money spent on the game.

$12 + $16 = $28
$
28 = $28