Question

) 11kg sugar and 19kgrice together cost 502, while 19kg sugar and 11 kg rice together cost 758. Find the total cost of 3kg sugar and 6kg rice​

Answer 1

Answer:

141

Step-by-step explanation:

let the cost of 1 kg of sugar be X

and the cost of 1 kg rice be y

then 11 kg sugar cost =11x

and the cost of 19 kg rice cost=19 y

A/Q, 11x + 19 y =502

similarly, 19x + 11y =758

now in equation (1) & (2)

( 11x + 19y =502 )×19

( 19x + 11y =758 )×11

solving (3) & (4)

209x + 361y =9538

209x + 121y = 8338

(-) (-) (-)

________________

240y = 1200

y = 5

now putting the value of y in eq (1)

11x + 19(5) = 502

11x + 95 = 502

11x = 502 - 95

11x =407

X = 37

now cost of 3 kg sugar 3× 37 = 111

cost of 6 kg rice 6× 5 = 30

total cost 111+30= 141