Answer :
To write the sentence as an equation, you need to identify the key parts mentioned in the sentence:
1. "The sum of 116 and [tex]\( c \)[/tex]" indicates that you are adding 116 and [tex]\( c \)[/tex] together.
2. "is 229" tells you that the result of this sum is equal to 229.
Therefore, you can write the equation as:
[tex]\[ 116 + c = 229 \][/tex]
To solve for [tex]\( c \)[/tex], you need to find a number that, when added to 116, equals 229. You can do this by subtracting 116 from both sides of the equation:
[tex]\[ c = 229 - 116 \][/tex]
After performing the subtraction:
[tex]\[ c = 113 \][/tex]
So, the value of [tex]\( c \)[/tex] is 113.
1. "The sum of 116 and [tex]\( c \)[/tex]" indicates that you are adding 116 and [tex]\( c \)[/tex] together.
2. "is 229" tells you that the result of this sum is equal to 229.
Therefore, you can write the equation as:
[tex]\[ 116 + c = 229 \][/tex]
To solve for [tex]\( c \)[/tex], you need to find a number that, when added to 116, equals 229. You can do this by subtracting 116 from both sides of the equation:
[tex]\[ c = 229 - 116 \][/tex]
After performing the subtraction:
[tex]\[ c = 113 \][/tex]
So, the value of [tex]\( c \)[/tex] is 113.