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jmc

number theory junior

Problem

Jason borrowed money from his parents to buy a new surfboard. His parents have agreed to let him work off his debt by babysitting under the following conditions: his first hour of babysitting is worth \1\, the third hour \3\, the fifth hour \5\, the seventh hour \1\, etc. If he repays his debt by babysitting for 39 hours, how many dollars did he borrow?
Solution
Every hours, Jason earns 1+2+3+4+5+6=\2139=6(6)+36\cdot 21=\ from hours, and in the next hours, he earns 1+2+3=\6126+6=\boxed{\132}.
Final answer
\$132