Kyle has 314 stamps in his collection. He is placing his stamps in an album with pages that each hold 42 stamps. He estimates he will need about 8 pages. Is he right? Why or why not?

1 Answer
Suren Abreu
Jan 22, 2017

Yes, he is right.

Explanation:

There are two ways of solving this problem.

One is by dividing the number of stamps by the number of stamps each page can hold which will give us the number of pages required.

#314/42=(157cancel314)/(21cancel42)=7.48#

Since the number is between #7# and #8#, Kyle has estimated correctly.

Two is by multiplying the number of stamps each page can hold by the estimated number of pages to see if the total number of stamps is equal to or less than the result. This is simpler.

#42xx8=336#

To check if Kyle can manage with #7# pages, we calculate:

#42xx7=294#

Since the total number of stamps is between these two numbers, Kyle has estimated correctly.

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