Answer:
The length of the red string is 33.
Step-by-step explanation:
Given : The length of a red string is 7 less than 8 times the length of a yellow string.
To find : The length of the red string when the length of the yellow string is 5?
Solution :
Let the length of yellow string be 'y' and red string be 'r'.
The length of a red string is 7 less than 8 times the length of a yellow string.
i.e. [tex]r=8y-7[/tex]
The length of the red string when the length of the yellow string is 5,
Substitute y=5 in the equation,
[tex]r=8(5)-7[/tex]
[tex]r=40-7[/tex]
[tex]r=33[/tex]
Therefore, the length of the red string is 33.
