Question

Ming had a box of chalk in her backpack.While walking home from school, shedecided to draw a chalk line on thesidewalk all the way to her house. The firstpiece of chalk lasted for two-thirds of ablock. If she had 11 more pieces of chalkin the box, for how many blocks in all wasshe able to draw a line?lloublocksif

Answer 1

In order to find how many blocks she was able to draw a line, we can calculate the following rule of three:

`\begin{gathered} \text{chalk}\to\text{blocks} \\ 1\text{ piece}\to(2)/(3)\text{ block} \\ 12\text{ pieces}\to x\text{ blocks} \end{gathered}`

Now, we can write the following equation and solve it for x:

`\begin{gathered} (1)/(12)=((2)/(3))/(x) \\ x\cdot1=(2)/(3)\cdot12 \\ x=(24)/(3) \\ x=8 \end{gathered}`

Therefore she would be able to draw a line in a total of 8 blocks.