Expert: John Zalewski - 11/27/2004

Question
john contracted to prepare and mail a set of fliers for a local club.  he had completed 1/3 of the job when a family emergency came up.  he made an agreement with sue to pay her for whatever part of the job she complete while he was gone.  she was able to get 3/4 of what he gave her to do john finished the job when he returned if the original contract was pay john 150 for the job what payment should sue recieve?  draw a diagram?
what is lattice multiplication chart for 75 x 32=

can you help me  

Answer
Hello, Veronica.

It seems that Sue is owed $75. I am unsure what kind of diagram you want.

My logic is as follows:

The original contract was for John to receive $150, upon completion of the job. He completed 1/3 of the job, then had to leave. ($150 x 1/3 = $50.) Since John finished 1/3 of the job, it's logical he would be paid at least 1/3 of the money.

Next, Sue takes over. John agrees to pay Sue for whatever she completes. Since the problem doesn't say how much she told Sue to complete, I assumed that John told Sue to finish as much as possible. As such, she completed 3/4 of the remaining job. Since John already completed $50 worth of work, there's $100 left ($150 - $50 = $100).

$100 x 3/4 = $75, which is what Sue is owed. John returns, finishes up ($25 worth), and the job is completed.

For the lattice multiplication chart, draw a 2x2 box. 75 x 32 = (70 + 5) x (30 + 2).

So, write the chart as such:

70      5

30      2

(70 x 30) + (70 x 2) + (30 x 5) + (2 x 5) = 2400

75 x 32 = 2400

Hope this helps.

Regards,
John