asked 39.2k views
3 votes
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.
answered
User Mforbes
by
8.0k points
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