The maximum number of toys they can purchase is 16.
The first step is to determine the total amount of money Chloe and Charlie has.
Amount Charlie has = 1/3 x 30 = $10
Total amount of money they have = $30 + $10 = $40
This equation can be used to represent the total number of items they can purchase given the money they have
$40 = $7 + $2x
Where x represents the maximum number of toys they can purchase
In order to determine the value of x, combine similar terms together
$40 - $7 = $2x
$33 = 2x
Divide both sides by 2
x = 33/2 = 16.5
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