Answer:the amount charged to wrap one small gift is $1
the amount charged to wrap one large gift is $9
Explanation:
Let x represent the amount charged to wrap one small gift.
Let y represent the amount charged to wrap one large gift.
They wrapped 33 small gifts and 44 large gifts earning $429. This means that
33x + 44y = 429 - - - - - - - - -1
They also wrapped 37 small gifts and 48 large gifts and earned $469. This means that
37x + 48y = 469 - - - - - - - - - -2
Multiplying equation 1 by 37 and equation 2 by 33, it becomes
1221x + 1628y = 15873
1221x + 1584y = 15477
Subtracting, it becomes
44y = 396
y = 396/44 = 9
Substituting y = 9 into equation 1, it becomes
33x + 44×9 = 429
33x + 396 = 429
33x = 429 - 396 = 33
x = 33/33 = 1