Question

EXERCISE 3.1
3. The cost of of 2kg of apples and 1kg of grapes on a day was Rs. 160 . After a month ,the cost of 4 kg of apples and 2kg grapes is Rs. 300 . Represent this algebrically and geometrically



this question from 10th NCERT​

Answer 1

Answer:

let us consider that price of apple be x & grapes be y

case1:

2x+y=160     ..............eq1

case 2:

4x+2y=300         .......................eq2

divide equation 2 on both side by 2

2x+y=150      ..............................eq 3

we got two equations 1&3

2x+y=160 &2x+y=150

then put simanteniously x and y values

in eq 1                                                           in eq 3

2x+y=160                                                      2x+y=150

x=50                                                               x=50

100+y=160                                                      100+y=150

y=60                                                                 y=50        

x=30                                                                x=30    

60+y=160                                                       60+y=150

y=100                                                                 y=90

then mark this point on graph and you will find that both the lines will be parallel to each other

Hope this helps u