Problem 1 Five friends Adam, Bipin, Chen, Dana and Erica all take a maths test.
Their teacher decides not to tell them their individual marks but gives
them the following information:
• Adam, Bipin and Chen together scored 200 marks.
• Bipin, Chen and Dana together scored 215 marks.
• Chen, Dana and Erica together scored 224 marks.
• The two girls (Dana and Erica) scored more than Chen.
• The five of them together scored 350 marks and each of them scored
a whole number of marks.
What were their individual scores?