Question

if 5kg of sugar and 7kg of rice cost rs.53 .And 5kg of rice and 7kg of sugar cost 147 then find the cost 1kg sugar and 5kg of rice​

Answer 1

Answer:

Let’s assume the cost of 1 kg of sugar = Rs x

And, let the cost of 1 kg of rice = Rs y

Then according to the given conditions, we have

5x+7y=153      … (i) and

7x+5y=147      … (ii)

Multiplying (i) by 7 and (ii) by 5, we have

35x+49y=1071 … (iii)

35x+25y=735 … (iv)

Subtracting (iv) from (iii), we get

24y=336

⇒y=24336

⇒y=14

On substituting the value of y in (i), we get

5x+7(14)=153

⇒5x+98=153

⇒5x=153−98

⇒5x=55

⇒x=555=11

Hence,

The cost of 1 kg of sugar is Rs 11 and 

The cost of 1 kg of rice is Rs 14.

Now,

Cost of 6 kg of sugar = Rs 11×6= Rs 66

Cost of 10 kg of rice = Rs 14×10= Rs 140

Thus, the cost of 6 kg of sugar and 10 kg of rice = Rs 66+ Rs 140= Rs 206.

Answer 2

Answer:

₹ 34

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