Answer :
Sure! Let's go through the problem step-by-step to write the sentence as an equation and solve for [tex]\( k \)[/tex].
1. Understand the Sentence:
The sentence given is: "150 is equal to 215 reduced by [tex]\( k \)[/tex]."
2. Translate the Words into an Equation:
- "150 is equal to" can be written as [tex]\( 150 = \)[/tex].
- "215 reduced by [tex]\( k \)[/tex]" means [tex]\( 215 - k \)[/tex].
3. Write the Equation:
Putting it all together, we get:
[tex]\[
150 = 215 - k
\][/tex]
4. Solve for [tex]\( k \)[/tex]:
- To isolate [tex]\( k \)[/tex], we can rearrange the equation.
- Subtract 150 from both sides of the equation to isolate the term with [tex]\( k \)[/tex]:
[tex]\[
150 - 150 = 215 - k - 150
\][/tex]
Simplifying this, we get:
[tex]\[
0 = 65 - k
\][/tex]
- Next, we add [tex]\( k \)[/tex] to both sides:
[tex]\[
k = 65
\][/tex]
So, the value of [tex]\( k \)[/tex] is [tex]\( 65 \)[/tex]. The equation 150 = 215 - k can be solved to find that [tex]\( k = 65 \)[/tex].
1. Understand the Sentence:
The sentence given is: "150 is equal to 215 reduced by [tex]\( k \)[/tex]."
2. Translate the Words into an Equation:
- "150 is equal to" can be written as [tex]\( 150 = \)[/tex].
- "215 reduced by [tex]\( k \)[/tex]" means [tex]\( 215 - k \)[/tex].
3. Write the Equation:
Putting it all together, we get:
[tex]\[
150 = 215 - k
\][/tex]
4. Solve for [tex]\( k \)[/tex]:
- To isolate [tex]\( k \)[/tex], we can rearrange the equation.
- Subtract 150 from both sides of the equation to isolate the term with [tex]\( k \)[/tex]:
[tex]\[
150 - 150 = 215 - k - 150
\][/tex]
Simplifying this, we get:
[tex]\[
0 = 65 - k
\][/tex]
- Next, we add [tex]\( k \)[/tex] to both sides:
[tex]\[
k = 65
\][/tex]
So, the value of [tex]\( k \)[/tex] is [tex]\( 65 \)[/tex]. The equation 150 = 215 - k can be solved to find that [tex]\( k = 65 \)[/tex].
