12 Pieces of Chalk

by Gary Salisburger
(Kent, Washington)

Ming and Chuck were walking home one afternoon and decided to draw a chalk line on the road from school to Chuck's house.

They started out with a box of chalk and realized that one piece only lasted for two-thirds of a block.

If they had 12 pieces of chalk in the box, for how many blocks were they able to draw a line? How do you know?


Solution

1 piece ----------- 2/3 of a block

2 pieces ---------- 2/3 + 2/3 = 4/3 = 3/3 + 1/3 = 1 + 1/3

3 pieces ---------- 1 + 1/3 + 2/3 = 1 + (1 + 2) / 3 = 1 + 3/3 = 1 + 1 = 2

Based on this pattern, 6 pieces can do 4 blocks

Therefore, 12 pieces can do 8 blocks.

A quicker way to solve this problem is to multiply

12 by 2/3

12 times 2/3 = (12 * 2) / 3 = 24 / 8 = 8



Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Basic math word problem.

Recent Articles

  1. Permutation Word Problems with Solutions

    Sep 30, 22 04:45 PM

    Learn to solve a great variety of permutation word problems with easy to follow explanations.

    Read More