(b) Pak Majid sells three grades of eggs A, B and C. The total price of a grade A egg and a grade B egg is three times the price of a grade C egg. Pak Majid sells 80 grade A eggs, 95 grade B eggs and 60 grade C eggs to Pak Abu. Pak Majid also sells 55 grade A, 70 grade B eggs and 90 grade C eggs to Pak Hamid. Pak Abu and Pak Hamid pay RM160.50 and RM138 respectively to Pak Majid. If x, y and z represent the price of a grade A egg, a grade B egg and a grade C egg respectively, solve for the values x, y and z by using inverse matrix method.

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