Question

Jose drew a line on the sidewalk outside his house with chalk that was 1 3/4 of a yard long for a game that he is playing with his friends. He wants to divide the line into sections that are each 2/5 of a yard long. How many sections will the line be divided into?

Answer 1

Jose drew a line on the sidewalk. The line will be divide into approximately 4 sections.

Solution:

It is given that the line that Jose drew on the sidewalk outside his house is
`1(3)/(4)` yard long. Now he want to divide the line into sections that are
`(2)/(5)` of a yard long. We have to find out how many sections the line will be divided.

Let the number of sections be x

Thus using the below equation we can find out the number of section

`\begin{array}{l}{(2)/(5) * x=1_(4)^(3)} \\\\ {\Rightarrow (2)/(5) * x=(7)/(4)} \\\\ {\Rightarrow x=(7)/(4) * (5)/(2)} \\\\ {\Rightarrow x=(35)/(8)} \\\\ {\Rightarrow x=4.375} \\\\ {x \approx 4 \text { sections }}\end{array}`

Thus the line will be divide into approximately 4 sections.