To find the value of [tex]\( s \)[/tex] in the equation [tex]\( 3r = 10 + 5s \)[/tex] when [tex]\( r = 10 \)[/tex], follow these detailed steps:
1. Substitute [tex]\( r \)[/tex] with 10 in the equation:
[tex]\[
3(10) = 10 + 5s
\][/tex]
2. Simplify the left side of the equation:
[tex]\[
30 = 10 + 5s
\][/tex]
3. Subtract 10 from both sides to isolate the term involving [tex]\( s \)[/tex]:
[tex]\[
30 - 10 = 5s
\][/tex]
[tex]\[
20 = 5s
\][/tex]
4. Divide both sides by 5 to solve for [tex]\( s \)[/tex]:
[tex]\[
\frac{20}{5} = s
\][/tex]
[tex]\[
s = 4
\][/tex]
Thus, the correct value of [tex]\( s \)[/tex] is [tex]\( 4 \)[/tex].
Among the given options, the correct answer is:
[tex]\[
\boxed{4}
\][/tex]
