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The cost of 5 kg kg sugar and 7 kg of rice is 153 and 7jg of sugar and 5 kg of rice is 147 find the cost of 6 kg sugar and 10 kg of rice

Asked by Sanjaysikder056 | 12 Jun, 2018, 08:12: PM

Expert Answer

begin mathsize 16px style Let space the space cost space of space 1 space kg space Suger space equals space Rs. space straight x space and space space the space cost space of space 1 space kg space Rice space equals space Rs. space straight y According space to space the space conditions comma space we space get 5 straight x space plus space 7 straight y space equals space 153.... left parenthesis 1 right parenthesis 7 straight x space plus space 5 straight y space equals space 147..... left parenthesis 2 right parenthesis Adding space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis comma space we space get 12 straight x space plus space 12 straight y space equals space 300 rightwards double arrow space straight x space plus space straight y space equals space 25 space space space.... left parenthesis 3 right parenthesis Subtracting space left parenthesis 1 right parenthesis space from space left parenthesis 2 right parenthesis comma space we space get 2 straight x space minus space 2 straight y space equals space minus 6 rightwards double arrow straight x space minus space straight y space equals space minus 3 space..... left parenthesis 4 right parenthesis Adding space left parenthesis 3 right parenthesis space and space left parenthesis 4 right parenthesis comma space we space get space 2 straight x space equals space 22 space rightwards double arrow straight x space equals space 11 Substituting space straight x space equals space 11 space in space equation space left parenthesis 3 right parenthesis comma space we space get straight y space equals space 14 Therefore space the space cost space of space 6 kg space Sugar space and space 10 space kg space Rice space equals space 6 straight x space plus space 10 straight y space equals 6 space cross times space 11 space plus 10 space cross times 14 space equals space 66 space plus 140 space equals Rs. space 206 end style

Answered by Yasmeen Khan | 13 Jun, 2018, 10:26: AM

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