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Question: so yea ok the school talent show allows people to sign up for 3 to 5 minute acts, there is a minute between acts, it has 15 acts and lasts for 79 mins. how many 3 min acts are there? show work plz thanks so much! AN icecream shop offers a weeklong special deals when u purchase a large icecream cake. They offer a free small ice ignore that

Answer: I know there's an algebraic solution to this problem, but I would rather attack it just with logic. First of all, the people can sign up for 5 minute acts OR 3 minute acts. If they are allowed anywhere BETWEEN 3 and 5 minutes, as the wording suggests, then you can't do the problem. There are 15 acts, so there are 14 1-minute breaks. So the total time of acts themselves is 79 -14 = 65 minutes. So there are 15 acts which total 65 minutes. Now if all 15 acts were 5-minute acts, 15 * 5 = 75 minutes, so the show would run 10 minutes over. So the number of 3 minute acts is that number which would save 10 minutes over the same number of 5-minute acts. Each 3-minute act saves 2 minutes. So that means that 5 acts are 3 minutes, each one saving 2 minutes, or 10 minutes altogether. 10 five-minute acts = 50 minutes 5 three-minute acts = 15 minutes 14 1-minute breaks = 14 minutes ------------ Total 79 minutes

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