The cost of 5kg of sugar and 7kg of a rice is 153 rs and the cost of 7kg of sugar and 5kg of rice is 147 rs find the cost of 6kg of sugar and 10kg of rice
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Let us take sugar as x and rice as y.
so, 5k of sugar = 5x and 7kg of rice = 7y
given, 5kg of sugar and 7kg of rice as 153 rs.
so,5x+7y= = 153 -----(1)
also, 7kg of sugar and 5 kg of rice is 147 rs. so, 7x+5y=153----(2)
solving the above two eqns.
multiply (1) by 7 and (2) by 5
35x+49y = 1071
35x+25y = 735
____________
24y= 336
___________
y = 14
substituting the value of y in (1) we get
5x+7*14= 153
5x+68 = 153
5x=153-68
5x=85
x= 17
so, the cost of 6kg of sugar = 6*17 = 102 rs and the cost of 10kg rice = 10*14 = 140 rs.
samithegreat:
thanks but there are some errors
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this is the correct answer
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