In a theater, there are 4 long rows of chairs, each with an equal number of chairs There are 5 ahort rows of chairs, each with an equal number of chairs On a crowded day, the ushers added 2 chairs to each long row and 3 chairs to each short row if x represents the number of chairs in each long row and y represents the number of chairs in each short row, the total number of chairs in the theater is given by the expression 2) Sly 3) An equivalent expression is

Question

Mathematics

Mattie Blankenship

15 March, 18:01

In a theater, there are 4 long rows of chairs, each with an equal number of chairs There are 5 ahort rows of chairs, each with an equal number of chairs On a crowded day, the ushers added 2 chairs to each long row and 3 chairs to each short row if x represents the number of chairs in each long row and y represents the number of chairs in each short row, the total number of chairs in the theater is given by the expression 2) Sly 3) An equivalent expression is

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Braylon · Answer 1

There are 4 long rows and 5 short rows in the theater. x represents the number of chairs in each long row and y represents the number of chairs in each short row.

So, total number of chairs in 4 long rows = 4x

Total number of chairs in 5 short rows = 5y

Total number of chairs in the theater on a normal day = 4x + 5y

When 2 chairs are added to each long row, the number of chairs will change to (x+2).

So, total number of chairs in 4 long rows will be = 4 (x+2)

When 3 chairs are added to each short row, the number of chairs will change to (y+3)

So, total number of chairs in 5 short rows will be = 5 (y+3)

Thus, total number of chairs in the theater in rush day = 4 (x+2) + 5 (y+3)

= 4x + 8 + 5y + 15

= 4x + 5y + 23

Thus we can say the number of chairs increase by 23 as compared to a normal day.