To translate the sentence "The sum of 12 and Mal's savings is 58" into an equation using the variable [tex]\( m \)[/tex] to represent Mal's savings, follow these steps:
1. Identify the components of the sentence:
- "The sum of 12 and Mal's savings" can be represented as [tex]\( 12 + m \)[/tex].
- "is 58" translates to [tex]\( = 58 \)[/tex].
2. Combine these components into a single equation:
[tex]\[
12 + m = 58
\][/tex]
So, the translated equation is:
[tex]\[
12 + m = 58
\][/tex]
Now, we need to solve for [tex]\( m \)[/tex]:
1. Start with the equation:
[tex]\[
12 + m = 58
\][/tex]
2. To isolate [tex]\( m \)[/tex], subtract 12 from both sides of the equation:
[tex]\[
12 + m - 12 = 58 - 12
\][/tex]
Simplifying both sides, you get:
[tex]\[
m = 46
\][/tex]
3. Therefore, Mal's savings [tex]\( m \)[/tex] is:
[tex]\[
m = 46
\][/tex]
So, Mal's savings amount to 46.
