Question

3. The cost of 2kg tea and 3 kg sugar is Rs 200. Rs 350 is to be paid if 4 kg tea and 3 kg sugar is
purchased. Find the price of tea and sugar per kg.

4. The rate of ghee is two and half times the rate of oil. If RS 220 is to be paid for the purchase A39
oil and 2 kg ghee, find the price of oil and ghee periz.

obtain a pair of linear equation in two variables

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Answer 1

Answer:

first ,let the rate of tea =x

then,the cost of sugar =(200-x)

the rate of one kg tea is ,

2kg=x

kg=x/2

the cost of one kg sugar ,3kg=(200-x)

=kg =(200-x)/3

secondly,let the rate of 4kg tea=x

so, the rate of 3kg sugar =(350-x)

so, the rate of one kg tea =4kg =x

kg=x/4

so, the cost of one kg sugar=3kg=(350-x)

kg=(350-x)/3

so according to question,

x/2+(200-x)/3= X/4 +(350-x)/3

taking LCM,

3x+400 - 2x/6=3x+1400 - 4x/12

x+400/6=-x+1400/12

x+400=x+1400/2

by cross multiplication,

2(x+400)=-x+1400

2x+800=-x+1400

2x+x=1400-800

3x=600

x=600/3

x= 200

so the rate of sugar