Answer :
To write the sentence as an equation, let's break down the words into mathematical expressions:
1. Understand "the quantity 2 times n":
- This part of the sentence means you multiply the variable [tex]\( n \)[/tex] by 2. So, it is represented as [tex]\( 2n \)[/tex].
2. Interpret "156 less than":
- "156 less than" means you subtract 156 from something. In this context, you are subtracting 156 from the quantity [tex]\( 2n \)[/tex].
3. Translate "is equal to 360":
- This means you set the expression equal to 360.
Putting it all together, the sentence "156 less than the quantity 2 times n is equal to 360" can be written as the equation:
[tex]\[ 2n - 156 = 360 \][/tex]
This equation shows that when you subtract 156 from double the value of [tex]\( n \)[/tex], it equals 360.
1. Understand "the quantity 2 times n":
- This part of the sentence means you multiply the variable [tex]\( n \)[/tex] by 2. So, it is represented as [tex]\( 2n \)[/tex].
2. Interpret "156 less than":
- "156 less than" means you subtract 156 from something. In this context, you are subtracting 156 from the quantity [tex]\( 2n \)[/tex].
3. Translate "is equal to 360":
- This means you set the expression equal to 360.
Putting it all together, the sentence "156 less than the quantity 2 times n is equal to 360" can be written as the equation:
[tex]\[ 2n - 156 = 360 \][/tex]
This equation shows that when you subtract 156 from double the value of [tex]\( n \)[/tex], it equals 360.
