The cost of 5 kg of sugar and 7 kg of rice is Rs 153, and the cost of 7 kg of sugar and 5 kg of rice is Rs. 47 Find the cost

Question

The cost of 5 kg of sugar and 7 kg of
rice is Rs 153, and the cost of 7 kg
of sugar and 5 kg of rice is Rs. 47
Find the cost of 6 kg of sugar and 10kg
of rice​

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Ruby 3 weeks 2021-10-05T07:00:40+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-05T07:02:03+00:00

    Answer:

    Make sugar = x

    rice = y

    5x + 7y = 153……Eq(1)

    7x + 5y = 147……Eq(2)

    Multiply Eq(1) by 5

    Multiply Eq(2) by 7

    25x + 35y = 765….Eq(1)

    49x + 35y = 1029…Eq(2)

    Subtract Eq(1) from Eq(2)

    24x = 264

    x = 11

    Substitute x = 11 into Eq(1)

    5x + 7y = 153……Eq(1)

    5(11) + 7y = 153

    55 + 7y = 153

    7y = 153 – 55

    7y = 98

    y = 14

    x = 11; y = 14

    6kg of sugar

    6(11) = 66

    10kg of rice

    10(14) = 140

    Total price = 206

    Hope this helps :-

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