College

Write the sentence as an equation.

[tex]\[ g \text{ decreased by } 192 \text{ is the same as } 114 \] [/tex]

[tex]\[ g - 192 = 114 \] [/tex]

Answer :

Sure, let's write the given sentence as an equation and solve it.

The sentence is: "g decreased by 192 is the same as 114."

1. Let's identify what we need to do:
- "g decreased by 192" can be written as [tex]\( g - 192 \)[/tex].
- "is the same as" means an equals sign [tex]\( = \)[/tex].
- The number on the right side of the equation is 114.

So, the equation is:
[tex]\[ g - 192 = 114 \][/tex]

To solve for [tex]\( g \)[/tex], we need to isolate [tex]\( g \)[/tex] on one side of the equation. Here's how we can do it step-by-step:

2. Add 192 to both sides of the equation to cancel out the -192 from the left side:
[tex]\[ g - 192 + 192 = 114 + 192 \][/tex]

3. Simplify both sides:
[tex]\[ g = 306 \][/tex]

So, the value of [tex]\( g \)[/tex] is 306.