Peggy Allan
Middle School Grade 6
parent

My son has been challenged with "the problem of the week" and I am unable to assist him in finding a reasonable solution.

Problem 1,

Note: I have thought of foldinmg the paper in half to obtain 14 cm's but how do you determine 1 cm?

Problem 2.

This problem is extremely interesting as all the children in the class came to the same conclusion but were but were told it was wrong. See below and advise where the children went wrong.

The students answer was:

Greg spent (8.50 and 10.00) 18.50 Samantha Spent (8.50 and 10.50) 19.00 Pedro spent (10.00 and 10.50) 20.50

The teacher never gave the students the correct answer.

My thoughts are the same as the students, however, as the question really does not give specifics for each pair, maybe the answer should have been the students spent on average approximately 19.33 each.

Your assistance is very much appreciated.

pegs

I assume that the sheet is 28 cm from top to bottom and 21.5 cm from side to side as in the diagram.

Fold the top side of the sheet to the left side.

Now, unfold the sheet.

Then, fold the BOTTOM side to the left side.

Then unfold again.

The orange lines in the diagram are the creases that result. Do you see how that helps?

Shopping Spree

I think that what is meant is this:

Now with my interpretation, this answer would not make sense: For instance, Greg alone would have spent more money than him and Samantha put together. Do you see a way of solving the problem if my interpretation is correct?