Matt is a partner in a local CPA firm

Matt is a partner in a local CPA firm. The firm has been very successful,and Matt and Amanda would be considered "upper income" taxpayers.
Matt enjoys running with charity teams that benefit qualified charitable organizations and participates in the St. Jude run every year. The charity teams pay for the runners' entry fees and require runners to raise a set amount of donations in order to participate. This year, Matt participated in four charitable runs. In total, the charity teams paid $500 for his entry fees. Matt raised $20,000 for charity, including a personal donation of $10,000.
So, how to define the $500, $20,000 and $10,000 in Matt's personal tax?
Whether Matt's donations of $10,0000 related to his running are qualified donations?
Can someone explain more?