Certainly! Let's translate the sentence into an equation step by step.
1. Identify the Variable:
Let [tex]\( j \)[/tex] represent Jenny's score.
2. Translate the Sentence:
The sentence states that Jenny's score increased by 19 is 43.
- "Jenny's score" can be written as [tex]\( j \)[/tex].
- "Increased by 19" means adding 19 to Jenny's score, which can be written as [tex]\( j + 19 \)[/tex].
- "Is 43" means that the result of [tex]\( j + 19 \)[/tex] equals 43.
3. Form the Equation:
Putting it all together, we get:
[tex]\[ j + 19 = 43 \][/tex]
4. Solve for [tex]\( j \)[/tex]:
To find Jenny's score, we need to isolate [tex]\( j \)[/tex] on one side of the equation.
- Subtract 19 from both sides of the equation:
[tex]\[ j + 19 - 19 = 43 - 19 \][/tex]
- Simplify both sides:
[tex]\[ j = 24 \][/tex]
Therefore, Jenny's score is [tex]\( j = 24 \)[/tex].
