Answer:
Dakota's math test grade is 88%.
Step-by-step explanation:
1. Dakota’s math test grade was 7 points less than his science test grade.
2. The sum of the grades was 183%.
Let's define:
- ( M ) as Dakota's math test grade.
- ( S ) as Dakota's science test grade.
From the given information, we can write the following equations:
1. ( M = S - 7 )
2. ( M + S = 183 )
Step-by-Step Solution:
1. Substitute the first equation into the second equation:
[tex](S - 7) + S = 183[/tex]
2. Simplify the equation:
[tex]2S - 7 = 183[/tex]
3. Add 7 to both sides to isolate the term with ( S ):
[tex]2S = 190[/tex]
4. Divide both sides by 2 to solve for ( S ):
[tex]S = 95[/tex]
So, Dakota's science test grade is 95%.
5. Substitute ( S = 95 ) back into the first equation to find ( M ):
[tex]M = 95 - 7[/tex]
6. Simplify:
[tex]M = \boxed{ 88}[/tex]