There are colored pencils in a box, 9 pencils of each color. It is known that there are a natural number of tens and a natural number of dozens of pencils in the box, while there are less than 300 pencils in the box. How many pencils are in the box?

obojeneqk 2022-09-14 Answered
There are colored pencils in a box, 9 pencils of each color. It is known that there are a natural number of tens and a natural number of dozens of pencils in the box, while there are less than 300 pencils in the box. How many pencils are in the box?
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Answers (1)

gasskadeu7
Answered 2022-09-15 Author has 21 answers
According to the condition, the number of pencils is divisible by 9, divisible by 10, divisible by 12 (dozen)
LCM(9, 10,12)=2*2*3*3*5=180
9=3*3
10=2*5
12=2*2*3
the next multiple of 180*2=360 is already greater than 300, which meansanswer: 180 pencils

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