Dolores is arranging coffee mugs on shelves in her shop. She wants each shelf to have the same number of mugs. She only wants one color of mug on each shelf . If she has 49 blue mugs and 56 divide mugs what is the greatest number she can put on each shelf. How many shells does she need for each color?
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Find the prime factors:
49 = 7²
56 = 2³ x 7
Find the HCF:
HCF = 7
Find the number of rows needed:
Number of mugs on one row = 7
Number of rows of blue mugs = 49 ÷ 7 = 7
Number or rows of other color mugs = 56 ÷ 7 = 8
Total rows = 7 + 8 = 15
Answer: (a) There are 7 mugs in each row (b) There are 15 rows.
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