Question

3. The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. After
month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation
algebraically and geometrically.
​

Answer 1

Step-by-step explanation:

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

Answer 2

$\large\underline\mathrm{Solution}$

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

case1:

$\implies$ 2x+y=16  ..............eq(1)

case 2:

$\implies$ 4x+2y=3  .......................eq(2)

• Divide equation (2) on both side by 2

$\implies$ 2x+y=150  ..........................eq (3)

we got two equations (1) and (3)

$\implies$ 2x+y=160

$\implies$ 2x+y=150

• multiple x and y values in eq (1) and   in eq (2)

$\implies$ 2x+y=160           $\implies$   2x+y=150

$\implies$x = 50                 $\implies$x = 50                                    

$\implies$ 100+y=160

[tex\implies[/tex]  100+y=150

$\implies$ y=60                    $\implies$ y=50        

$\implies$ x=30                   $\implies$  x=30    

$\implies$ 60+y=160          $\implies$ 60+y=150

$\implies$ y=100               $\implies$   y=90