A school district is planning on buying new desk for its classroom. each secondary classroom is to have 5 more desks than an elementary classroom. for 20 elementary classrooms and 25 secondary classrooms, a total of 1115 desks are needed. the system of equations below represents this situation. y = * + 5 20 * + 25y = 111

Question

Mathematics

Allyson Douglas

10 December, 20:20

A school district is planning on buying new desk for its classroom. each secondary classroom is to have 5 more desks than an elementary classroom. for 20 elementary classrooms and 25 secondary classrooms, a total of 1115 desks are needed. the system of equations below represents this situation. y = * + 5 20 * + 25y = 111

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Answers (1)

Know the Answer?

Karley Riley · Answer 1

I think you want to know about the value of x and y. Based on this assumption, i am answering the question.

y = x + 5

20x + 25y = 1115

Putting the value of y from the first equation in the second equation, we get

20x + 25 (x + 5) = 1115

20x + 25x + 125 = 1115

45x = 1115 - 125

45x = 990

x = 22

Then

y = x + 5

= 22 + 5

= 27

From the above deduction, it can be concluded that the elementary classroom will have 22 new desks and the secondary classroom would have 27 desks.