Respuesta :
The total number of days requires to build a similar house with 5 workers is 133 and this can be determined by forming the linear equation.
Given :
- When building a house, the number of days required to build varies inversely with the number of workers.
- One house was built in 19 days by 35 workers.
The following steps can be used in order to determine the total number of days to build a similar house with 5 workers:
Step 1 - According to the given data, the number of days required to build varies inversely with the number of workers.
Step 2 - Now, let the total number of workers be 'x' and the total number of days be 'y'. Then the mathematical expression that represents the above situation is:
[tex]\rm y\; \alpha \;\dfrac{1}{x}[/tex]
yx = k
where k is the proportionality constant.
Step 3 - Now, substitute the value of y = 19 and x = 35 in the above equation.
19 [tex]\times[/tex] 35 = k
k = 665
Step 4 - So, the total number of days requires to build a similar house with 5 workers is:
5y = 665
y = 133 days
Therefore, the total number of days requires to build a similar house with 5 workers is 133.
For more information, refer to the link given below:
https://brainly.com/question/11897796
