The problem states that the product of 5 and an unknown quantity is 35. We can represent the unknown quantity by a variable, let's use [tex]\( r \)[/tex].
So, we can write the equation as:
[tex]\[
5r = 35
\][/tex]
To solve for [tex]\( r \)[/tex], we need to isolate [tex]\( r \)[/tex]. Here's how we do it step-by-step:
1. Identify the operation: Currently, 5 is multiplied by [tex]\( r \)[/tex].
2. Apply the inverse operation: To isolate [tex]\( r \)[/tex], we need to undo the multiplication by dividing both sides of the equation by 5.
Thus, we perform the division:
[tex]\[
r = \frac{35}{5}
\][/tex]
3. Simplify the right side:
[tex]\[
r = 7
\][/tex]
Therefore, the value of the unknown quantity [tex]\( r \)[/tex] is:
[tex]\[
r = 7
\][/tex]
