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(a) Given that the matrix A = #((2,3),(3,4))# , find #A^(-1)#, the inverse of A.
(b) Kantai bought 200 bags of sugar and 300 bags of rice for a total of sh. 850,000. Buya bought 90 bags of sugar and 120 bags of rice for a total of sh. 360,000. If the price of a bag of sugar is sh. x and that of rice is sh. y,
(i) Form two equations to represent the information above.
(ii) Use the matrix #A^(-1)# to find the price of one bag of each item.
(c) Kali bought 225 bags of sugar and 360 bags of rice. He was given a total discount of sh. 33,300. If the discount on the price of a bag of rice was 2%, calculate the percentage discount on the price of a bag of sugar.