# 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?

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?
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

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