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Express the following statement as a linear equation in two variables:

"The cost of 2 kg of onion and 3 kg of beans on a day was found to be ₹ 185."

Answer :

To express the given statement as a linear equation in two variables, we need to assign a variable for each item mentioned (onion and beans) and then form the equation based on the cost.

Let's designate:

  • [tex]x[/tex] as the cost per kg of onion
  • [tex]y[/tex] as the cost per kg of beans

The statement "The cost of 2 kg of onion and 3 kg of beans on a day was found ₹ 185" can be translated into a linear equation as follows:

  • First, identify the quantities and costs:

    • 2 kg of onions contributes [tex]2x[/tex] to the total cost.
    • 3 kg of beans contributes [tex]3y[/tex] to the total cost.

  • The total cost is given as ₹ 185.

Therefore, the linear equation is:

[tex]2x + 3y = 185[/tex]

This equation represents the relationship between the cost per kg of onions and beans, given their respective weights and total cost. Here, you can use various methods, such as substitution or elimination, to find the values of [tex]x[/tex] and [tex]y[/tex] if additional information is provided.

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