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dondre54
26.06.2019 •
Mathematics
At a large picnic, there were 45 dishes served altogether. every 3 people shared a dish of cole slaw between them. every 4 people shared a dish of potato salad between them. every 6 people shared a dish of hot dogs between them. how many people were at the picnic?
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Ответ:
There were 12·5=60 people at the picnic.
Step-by-step explanation:
If every 3 people shared a dish of Cole slaw between them, every 4 people shared a dish of potato salad between them and every 6 people shared a dish of hot dogs between them, then you can find the minimal number of people that can do such thing. Mathematically this is the least common multiplier LCM.
Since
3=3;4=2·2;6=2·3,then LCM(3,4,6)=2·2·3=12.
Suppose at the picnic were 12 people. If every 3 people shared a dish of Cole slaw between them, then 12 : 3 = 4 such dishes were served. If every 4 people shared a dish of potato salad between them, then 12 : 4 = 3 such dishes were served. If every 6 people shared a dish of hot dogs between them, then 12 : 6 = 2 such dishes were served. In total, 4 + 3 + 2 =9 dishes.
You know there were 45 dishes served altogether. 45 is 5 times more than 9, then the number of people at the picnic is 5 times more than 12. Therefore, there were 12·5=60 people at the picnic.
Ответ:
18month=1.5 year
Interest = 0.06*930*1.5=$83.7