Answer :
Sure! Let's solve the problem step-by-step.
We are given that a number, [tex]\( n \)[/tex], is added to 15 less than 3 times itself, and the result is 101. We need to find the equation that represents this situation.
1. Start by expressing "3 times the number" mathematically:
[tex]\[
3n
\][/tex]
2. Now, we need to express "15 less than 3 times the number". This means we subtract 15 from [tex]\( 3n \)[/tex]:
[tex]\[
3n - 15
\][/tex]
3. According to the problem, the number, [tex]\( n \)[/tex], is added to this expression:
[tex]\[
n + (3n - 15)
\][/tex]
4. The total result, when this is set equal to 101, forms the equation:
[tex]\[
n + 3n - 15 = 101
\][/tex]
5. Simplifying the equation [tex]\( n + 3n - 15 = 101 \)[/tex], we combine like terms:
[tex]\[
4n - 15 = 101
\][/tex]
Thus, the correct equation that can be used to find the value of [tex]\( n \)[/tex] is:
[tex]\[
3n - 15 + n = 101
\][/tex]
This matches with the choice:
[tex]\[
3n - 15 + n = 101
\][/tex]
We are given that a number, [tex]\( n \)[/tex], is added to 15 less than 3 times itself, and the result is 101. We need to find the equation that represents this situation.
1. Start by expressing "3 times the number" mathematically:
[tex]\[
3n
\][/tex]
2. Now, we need to express "15 less than 3 times the number". This means we subtract 15 from [tex]\( 3n \)[/tex]:
[tex]\[
3n - 15
\][/tex]
3. According to the problem, the number, [tex]\( n \)[/tex], is added to this expression:
[tex]\[
n + (3n - 15)
\][/tex]
4. The total result, when this is set equal to 101, forms the equation:
[tex]\[
n + 3n - 15 = 101
\][/tex]
5. Simplifying the equation [tex]\( n + 3n - 15 = 101 \)[/tex], we combine like terms:
[tex]\[
4n - 15 = 101
\][/tex]
Thus, the correct equation that can be used to find the value of [tex]\( n \)[/tex] is:
[tex]\[
3n - 15 + n = 101
\][/tex]
This matches with the choice:
[tex]\[
3n - 15 + n = 101
\][/tex]
