SOLUTION: Mary has 200 knitted squares. Sue has 5000 knitted squares. Mary makes 20 knitted squares per hour. Sue makes 15 knitted squares per hour. Mary and Sue will start working (and

Algebra ->  Finite-and-infinite-sets -> SOLUTION: Mary has 200 knitted squares. Sue has 5000 knitted squares. Mary makes 20 knitted squares per hour. Sue makes 15 knitted squares per hour. Mary and Sue will start working (and       Log On


   



Question 204818: Mary has 200 knitted squares. Sue has 5000 knitted squares. Mary makes 20 knitted squares per hour. Sue makes 15 knitted squares per hour. Mary and Sue will start working (and continue to work every hour) to add to their knitted square collections on the same day at the same hour.
After the first hour, how many knitted squares will Mary have; how many knitted squares will Sue have? After the 2nd hour, 3rd hour?
How many hours must they work until they both have the same amount of knitted squares?
On the day they have the same amount of knitted squares, how many squares will they each have?

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Set up equations that model the two Ladies kniited square production
Mary+=+200+%2B+20h
Sue+=+5000+%2B+15h
Using those two equations, you can solve all of the questions.
After the first hour, how many knitted squares will Mary have; how many knitted squares will Sue have? After the 2nd hour, 3rd hour?
Just plug in the given values for h and solve. For instance, after 1 hour, h=1. so
Mary+=+200+%2B+20h
Mary+=+200+%2B+20%2A+1
Mary+=+220
Sue+=+5000+%2B+15h
Sue+=+5000+%2B+15%2A1
Sue+=+5015
Do the same for the other listed values for h

How many hours must they work until they both have the same amount of knitted squares?
To do this one, set the two equations equal to each other and solve
Mary+=+200+%2B+20h
Sue+=+5000+%2B+15h
So
200+%2B+20h+=+5000+%2B+15h
5h+=+4800
h+=+960
On the day they have the same amount of knitted squares, how many squares will they each have?
Use h=960 and solve. The number should be the same for both Mary and Sue