the cost of 3 kg of rice and 4 kg of wheat is Rs 93. The cost of 5 kg of rice and 7 kg of wheat is Rs 159. find the prices of rice and wheat per Kg.
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let price of rice per kg = x and price of per kg wheat = y,
then,
3x + 4y = 93
x = (93-4y)/3
also,
5x + 7y = 159
5{(93-4y)/3} + 7y = 159
465-20y +21y = 159×3
y = 477-465 = 12
and, x = (93-(4×12))/3 =45/3 =15
hence, price of rice per kg = Rs 15
and price of wheat per kg = Rs 12
I hope this will help you......
then,
3x + 4y = 93
x = (93-4y)/3
also,
5x + 7y = 159
5{(93-4y)/3} + 7y = 159
465-20y +21y = 159×3
y = 477-465 = 12
and, x = (93-(4×12))/3 =45/3 =15
hence, price of rice per kg = Rs 15
and price of wheat per kg = Rs 12
I hope this will help you......
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