Question

the cost of 3 kg rice and 2kg of sugar is 151.the cost of 4 kg of rice and 3 kg of sugar is 214.cost of 1 kg of rice is what​

Answer 1

$</p><p>\huge\rm{question:}$

--》the cost of 3 kg rice and 2kg of sugar is 151.the cost of 4 kg of rice and 3 kg of sugar is 214.cost of 1 kg of rice is what

$</p><p>\huge\rm{solution:}$

--》let cost of 1 kg rice be x

--》and that of 1 kg sugar be y

--》3x+2y=116 (1)

--》2x+3y=124 (2)

--》=5x+5y=240 (3)

--》dividing by 5 we get

--》x+y=48 (4)

--》subtracting eq 2from1 we get

--》x-y=8 (5)

--》solving eq 4 and 5we get

--》2x=56

--》x=56/2

--》x=28

--》putting x=28 in eq 5

--》y =20

--》thus cost of 1kg rice =28 Rs

--》and 1kg sugar=20Rs

$</p><p>\huge\rm{hence\: proved}$