Answer :
The equation of the machine that can make 5 miles of ribbon in an hour
- r = 5x
in 8 hours it produces 40 miles
The equation of the machine that can make 8 miles of ribbon in an hour
- r = 8x
in 8 hours it produces 64 miles
How to find the required equations
From the problem it can be deduced that
A machine can make 5 miles of ribbon in an hour
5 mile = 1 hour
how much ribbon, r, is made after x hours is solved by
5 mile = 1 hour
r miles = x hours
cross multiplying
r = 5x
in 8 hours
r = 5x = 5 * 8 = 40 miles
in 8 hours the machine makes 40 miles of ribbon
Another machine can make 8 miles of ribbon in an hour
8 mile = 1 hour
how much ribbon, r, is made after x hours is solved by
8 mile = 1 hour
r miles = x hours
cross multiplying
r = 8x
in 8 hours
r = 8x = 8 * 8 = 64 miles
in 8 hours the machine makes 64 miles of ribbon
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