Question

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




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Answer 1

Answer:

206

Step-by-step explanation:

let 1kg sugar's value be x

let 1kg rice value be y

then

5x+7y=153 and 7x + 5y=147

by elimination method

(5x+7y=153)×7

(7x+5y=147)×5

35x + 49y= 1071

35x +25y=735

by elimination

24y=336

y=336/24

y=14

by substitution method

7x + 5(14)=147

7x +70 =147

7x =147-70

7x =77

x=77/7

x=11

6(11)+14(10)=66+140=206

Answer 2

Answer:

206

Step-by-step explanation:

let, price of 1 kg of sugar = x

price of 1 kg of rice = y

according to question,

5x + 7y = 153 -------- 1)  

7x + 5y = 147 -------- 2)

bt solving both the equation, we get

x = 11

y = 14

then, cost of 6 kg of sugar and 10 kg of rice = 6x + 10y

                                                                         = 6*(11) + 10*(14) = 206