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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Two groups of volunteers are cleaning up the football stadium after the Homecoming game. Volunteers from the Band Booster Club have already cleaned 8 rows of bleachers and will continue to clean at a rate of 4 rows per minute. The leadership class has completed 7 rows and will continue working at 5 rows per minute. Once the two groups get to the point where they have cleaned the same number of rows each.
755 viewed last edited 2 years ago
Anonymous
-1

In  ----------- minutes, the groups will clean -------  rows each.



Sangeetha Pulapaka
0

STEP 1:

Before you can solve, you must write a system of equations. Let x = minutes, and let y =rows.


y = 4x+8

y=5x+7


STEP 2:

Recall on how to solve the system of equations with substitution method

ttps://www.qalaxia.com/viewDiscussion?messageId=5cd78ee7a969443b2fc8f122


Equate the equations across each other

4x + 8 = 5x + 7

x = 1

Now substitute this value of x in any one of the given equations, to find the value of y.

Plugging x = 1 in y = 4x + 8 we get y=12

So x  = minutes = 1 and y = rows =12.

In 1 minute, the groups will clean 12 rows each.









Jakyma Larkins
0
It said that it was 10 rows in 1 minute you were wrong
Mahesh Godavarti
0
Jakyma, the answer should have been 12. I have made the corrrection. Please compare the actual numbers used in the question you are looking at and the question here. That's why the answers might be different. If you can post the link to what you are looking at, I can comment further.
Sangeetha Pulapaka
0
No, it cannot be 10 rows, because when you plug in x =1, in either of the equations you get y = 12. This means that it is 12 rows.
Sangeetha Pulapaka
0
You sure the problem you are referring to had the same digits?