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

obojeneqk

Answered question

2022-09-14

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?

Answer & Explanation

gasskadeu7

gasskadeu7

Beginner2022-09-15Added 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

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?