The cost of 3 kg of sugar and 2 kg of rice is 298 and cost of 4 kg of sugar and 3 kg of rice is 544 represent the situation algebrically?

Question

this question is from algebric progressions so please help me to solve this question

Answer 1

Good morning Lokendra, from New York, NY. Have a great day at school.

Your question is a bit confusing, however I'm going to try and see if I can begin to help you under stand your questions. You post that the 'cost' of the sugar and rice is 298...is that $2.98 or $298.00. Either way, it will change the place value of your answer.

This is the way you would begin to set up your answer.

So...to set up your equations, let's identify what the problem tells you:

    we know the amount of sugar in the first part: 3kg

    we know the amount of rice in the first part:    2kg

    we know the cost of 2 of them in the first part: 298?

    we know the amount of sugar in the second part: 4kg

    we know the amount of rice in the second part:    3kg

    we know the cost of 2 of them in the second part:  544?

Now, let's label the things we don't know:

     we don't know the cost of sugar: s

     we don't know the cost of rice:   r

So, now we'll put the things we know and don't know into our equations:

              3s  +  2r  =  298     putting things together in the first part

              4s  +  3r  =  544     putting things together in the second part

Now, each is in an Algebraic equation.

Is your teacher expecting you to solve the equation?

Remember, the two costs 298 and 544 are confusing.

Now you have the equations set up.

Let me know if you need any further assistance.

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