Sinead bought 2 shirts for $15.68 each and a pair of shoes for $42.77. If she paid for the items with a $100 bill, how much change did she receive?

The total cost for 2 shirts is $15.68 x 2 = $<<15.68*2=31.36>>31.36.

So the total cost for the 2 shirts and the pair of shoes is $31.36 + $42.77 = $<<31.36+42.77=74.13>>74.13.
Therefore, Sinead received a change of $100 - $74.13 = $<<100-74.13=25.87>>25.87. Answer: \boxed{25.87}.

To find out how much change Sinead received, we need to calculate the total cost of the items she bought and subtract it from the amount she paid with the $100 bill.

The cost of 2 shirts is $15.68 each, so the total cost of the shirts is 2 * $15.68 = $31.36.

The cost of the pair of shoes is $42.77.

To find the total cost of the items, we add the cost of the shirts and the cost of the shoes: $31.36 + $42.77 = $74.13

Next, we subtract the total cost of the items from the amount Sinead paid with the $100 bill: $100 - $74.13 = $25.87.

Therefore, Sinead received $25.87 in change.