Question

The cost of 2kg apples and 1kg grapes was rs 160 but the cost of 4kg apples and 1kg grapes is rs 300 then what is the value of 1kg grapes​

Answer 1

Answer:

The value of 1kg grapes = Rs20

I hope this will help.

Answer 2

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⟹In this question, we need to assume the cost of kg apples as x and the cost of kg grapes as y. Then from the given conditions in the question, we get the respective algebraic equations which then on converting in terms of any of the one variable helps in geometric representation.

⟹Let us assume the cost of 1 kg apples as Rs. x and the cost of 1 kg grapes as Rs. y

Now, given that the cost of 2 kg apples and 1 kg grapes is Rs.160

Now, this can be written in terms of the algebraic equation as

$⇒2x+y=160</p><p>$

☞Now, the algebraic representation of the given system is

$2x+y=160 \\ 4x + 1y = 300</p><p>$

☞Now, let us find few corresponding values to represent them geometrically

$|x| 50| 60| 70|$

$|y|60|40|20|$

☞Now, plot these points to represent the situation geometrically

*Refer to the attachment*

☞Here, we can observe that both the lines do not intersect each other and are parallel so they do not have a common solution which means they have no unique solution.

This shows the prices are different