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To find the maximum number of packages Emma can buy, we need to subtract the cost of the book and the money set aside for lunch from the amount she has.
Emma has $26 - $12.81 - $10.00 = $3.19 remaining.
Each package of stickers costs $0.42, so we can divide the remaining amount by the cost per package:
$3.19 / $0.42 = 7.5952...
Since Emma cannot buy a fraction of a package, we can round down to the nearest whole number. Therefore, the maximum number of packages Emma can buy is 7.