Rishi Sunak and Liz Truss attacked each other's economic policies in the debate in Stoke-on-Trent.
Both campaign teams need "to be mindful of tone" and have a debate that's "respectful and dignified", Conservative MP Amanda Milling tells the BBC
The two contenders talked over each other and clashed on taxes, their Brexit records, the schools they went to and their records in government.
Sources close to Sunak said they believed he had "won the argument" on the economy, but one Truss supporter accused him of "mansplaining"
Labour leader Sir Keir Starmer says both Tory leadership candidates "are the architects of the mess this country is in"
About 160,000 Conservative members will take part in a ballot to choose the next party leader and prime minister, with the winner announced on 5 September.
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