# SOLUTION: Martha baked at least two dozen cookies, but fewer than 60 cookies. If she divides the cookies evenly among 7 plates, 4 cookies are left. If she divides the cookies evenly among 6

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 Click here to see ALL problems on Miscellaneous Word Problems Question 574892: Martha baked at least two dozen cookies, but fewer than 60 cookies. If she divides the cookies evenly among 7 plates, 4 cookies are left. If she divides the cookies evenly among 6 plates, 5 cookies are left. How many cookies did Martha bake?Answer by Edwin McCravy(8879)   (Show Source): You can put this solution on YOUR website!If she divides the cookies evenly among 7 plates, 4 cookies are left. ```That means it must be 4 more than a multiple of 7. The multiples of 7 that we can add 4 to and get a result between 24 and 59 are 21, 28, 35, 42, 49 4 more than those are 25, 32, 39, 46, 53 So it has to be one of those five numbers. ``` If she divides the cookies evenly among 6 plates, 5 cookies are left. ```That means it must be 5 more than a multiple of 6 So we will subtract 5 from each of these 25, 32, 39, 46, 53 to see which one gives us a multiple of 6. 20, 27, 34, 41, 48 The only one of those which is a multiple of 6 is 48, which is what we got when we subtracted 5 from 53. So the answer is 53. Edwin```