Respuesta :
It takes 10 minutes for the two lines to have filled an equal number of barrels
Each line will have filled 90 barrels
Solution:
Let "x" be the number of minutes
The old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute
Thus, a equation is framed as follows:
Old conveyor: 20 + 7(number of minutes)
Old conveyor: 20 + 7x ------- eqn 1
A worker just switched on a newer line that can fill 9 barrels per minute
Thus, a equation is framed as follows:
New conveyor: 9(number of minutes)
New conveyor: 9x -------- eqn 2
In a little while, the two lines will have filled an equal number of barrels.
Thus, eqn 1 must be equal to eqn 2
[tex]20 + 7x =9x\\\\9x - 7x = 20\\\\2x = 20\\\\x = 10[/tex]
Thus it takes 10 minutes for the two lines to have filled an equal number of barrels
How many barrels will each line have filled?
Substitute x = 10 in any one of equations
Substitute in eqn 2
9x = 9(10) = 90
Thus each line will have filled 90 barrels
