A school announces two prizes for 100% attendance and five prizes for 95% plus marks in all the subjects. If the total value of prizes is Rs.1900, the information as a linear combination in two variables is $Rs$ .[[1]].

Question

A school announces two prizes for 100% attendance and five prizes for 95% plus marks in all the subjects. If the total value of prizes is Rs.1900, the information as a linear combination in two variables is $Rs$ .[[1]].

Accepted Answer

Concept- The linear combination in two variable is Rs. 1900. We build a linear equation where we multiply the number of prizes by the value of each category, separately, then add them to provide the total amount to be awarded, assuming that the value of the two categories of prizes is two different variables.
Given that there are two different prize categories, we will treat each as having two different variables.
Let, the value of the category of 100%
attendance be denoted by x
Value of category of 95%
Plus, marks in all subjects are denoted by y
Now we count the number of prizes in each category,
Number of prizes for the category of

100 %

Number of prizes for the category of

95 %

Plus, marks in all subjects are 5.
Now, we know the total value awarded for the category of

100 %

Attendance prizes will be the number of prizes multiplied by the value of each prize

= 2 x

Also, we know the total value awarded for the category of 95%
Plus, marks in all subjects’ prizes will be the number of prizes multiplied with the value of each prize

= 5 y

Therefore, from these equations, we can write the total value of prizes as the sum of the value of each prize Total value of prizes

= 2 x + 5 y

The complete award money is provided to us as Rs. 1900.
As a result, we compare the two values of the prize's total value.

2 x + 5 y = Rs . 1900

Hence, the correct answer is 1900.

A school announces two prizes for 100% attendance and five prizes for 95% plus marks in all the subjects. If the total value of prizes is Rs.1900, the information as a linear combination in two variables is $Rs$ .[[1]].

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A school announces two prizes for 100% attendance and five prizes for 95% plus marks in all the subjects. If the total value of prizes is Rs.1900, the information as a linear combination in two variables is Rs.[[1]].

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A school announces two prizes for 100% attendance and five prizes for 95% plus marks in all the subjects. If the total value of prizes is Rs.1900, the information as a linear combination in two variables is $Rs$ .[[1]].