Swati wants to distribute sweets to some of her friends she has to give either 14,15 or 10 and sweets to her friends and keep 8 for herself what is the least number of sweets she must have in order to distribute .How to solve this problem. LCM
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Answer:
Swathi wants to distribute sweets to some of her friends, she wants to give either 14, 15 or 10 sweets to her friends and keep 8 for herself. What is the least number of sweets she must have in order to distribute?
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Well I'm not sure there is enough information to answer this. You have indicated she wants to give sweets to ‘some of her friends’, but you have not indicated how many of her friends. I can see you have indicated more than one (if there was only one friend you would/should not have used the plural 'some…friends’). Generally I would assume that if there were only two you would have simply said ‘her friends', so the ‘some of’ suggests there were at least 3, but that cannot be assumed. I will therefore assume you meant only 2. If that is the case, she would need a minimum of 28 sweets…10 for each of the two friends and 8 to keep for herself.
For any number of friends, let us use ‘X’ to represent that number. In order to determine the least amount needed we will use the quantity 10 as the number of treats for each friend, plus the 8 for herself. Therefore to determine the least number she would need for any number of friends she would need 10×X+8 treats.
After that it gets tricky again. You have indicated she will only give 10, 14, or 15 treats to her friends and keep 8 for herself. You have not indicated what, if anything should be done with any remaining treats after the distribution. So, for example, with 2 friends she would need that 28 minimum treats…but what happens if she has 29? After giving 10 to each of the two friends, and 8 for herself, she has 1 left over. If she wants to stick to the 10, 14, or 15 to each friend she can't give the extra to a friend, and if she wants to stick to the 8 for herself, she can't have it. If I were Swathi I would amend my criteria and keep the extra for myself. I suppose she could throw it away, or give it to someone other than the friends. In the end, your scenario is quite strange and I can't imagine why anyone would place those restrictions on what to do with any number of sweets they might have.
this is the answer