Question

the cost of 5 kg of sugar and 7kg of rice is ruppes 153 , and the cost of 7kg of sugar and 5kg of rice is ruppes 147. find the cost of 6kg of sugar and 10kg of rice​

Answer 1

Answer:

Step-by-step explanation:

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.