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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

1 Answer

2 votes
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.
User Mforbes
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