SOLUTION: I need help in aiding my daughter with working the following word problem: A fatory manufactures dresses. Every 3rd dress has a blue bow, every 8th dress has a white bow and eve

Question 555136: I need help in aiding my daughter with working the following word problem: A fatory manufactures dresses. Every 3rd dress has a blue bow, every 8th dress has a white bow and every 4th dress has a red bow. If 150 dresses come off the line, how many dresses have all three bows on them? I had her take the total dresses over the number of each color bow ie: 150/3 = number or dresses with blue bows, but I can not figure out how to get the number of dresses with all 3 bows. Thank you.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
any dress number that is evenly divisible by (has a factor of) 3, will have a blue bow

similarly with 8 and white bows; and 4 and red bows

any dress number that has 3, 8, and 4 as factors; will have all three bows

the smallest number with those factors is 24

150 is divisible by 24, 6 full times ; so there will be 6 dresses with all 3 bows
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