The yearbook editor wants each page of the Activities section of the yearbook to have the same combination of color photos and black-and-white photos. If there are 15 color photos and 20 black-and-white photos, all of which the editor wants to use, what is the greatest number of Activities pages the editor can create? _____ pages

Question

The yearbook editor wants each page of the Activities section of the yearbook to have the same combination of color photos and black-and-white photos. If there are 15 color photos and 20 black-and-white photos, all of which the editor wants to use, what is the greatest number of Activities pages the editor can create?  _____ pages

Bytelearn · Accepted Answer

Identify Need:  Step 1: Identify the need to find the greatest common factor (GCF) to determine the maximum number of pages that can have the same number of color and black-and-white photos. List Factors:  Step 2: List the factors of 15 and 20. Factors of 15: 1, 3, 5, 15 Factors of 20: 1, 2, 4, 5, 10, 20 Common factors: 1, 5 Greatest common factor: 5 Conclude Solution:  Step 3: Conclude that the greatest number of pages is equal to the GCF of the number of color and black-and-white photos. Since the GCF is 5, the yearbook editor can create 5 pages, each with an equal number of color and black-and-white photos.

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More problems from GCF and LCM: word problems

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