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If the tuition billing or invoice, apportions to the afterschool care (commonly called latch key), then you would be able to use the portin to afterschool child are as child care expenses on your tax return. http://www.irs.gov/taxtopics/tc602.html
You say "is there no way". If you can come up with a reasonable apportionment, then on audit, the IRS may allow it.
The problem is, how are you going to fix FMV to the child care. the part of the expenses of sending your child to school that is for your child's care may qualify for the credit, if it can be separated from the expenses of education," according to the IRS.
Your school may be willing to break down the tuition for you. If you do not have an itemized bill, then you are exposing you to IRS scrutiny and how you fix the value; on audit it could be denied.
You are welcome. Best of luck with this.