Sure! Let's break it down step by step:
1. Identify Han's score with a variable: Let's use the variable [tex]\( h \)[/tex] to represent Han's score.
2. Translate the verbal statement into a mathematical equation:
- "10 more than Han's score" can be translated to [tex]\( h + 10 \)[/tex].
- "is" means equals, so we use the equal sign [tex]\( = \)[/tex].
- The number given is 72.
Putting these parts together, the sentence "10 more than Han's score is 72" translates to the equation:
[tex]\[ h + 10 = 72 \][/tex]
3. Solve the equation for [tex]\( h \)[/tex]:
- Subtract 10 from both sides of the equation to isolate [tex]\( h \)[/tex]:
[tex]\[ h + 10 - 10 = 72 - 10 \][/tex]
- Simplify the equation:
[tex]\[ h = 62 \][/tex]
Therefore, Han's score [tex]\( h \)[/tex] is 62.