Answer: Dakota scored 88% in math test.
Step-by-step explanation: Given that Dakota's math test grade was 7 points less than his science test grade and the sum of the grades in both the grades was 183%.
We are to find the grades that Dakota got in his math test.
Let x% and y% be the grades scored by Dakota in math and science respectively.
Then, according to the given information, we have

and
![x+y=183\\\\\Rightarrow (y-7)+y=183~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uisng equation (i)}]\\\\\Rightarrow 2y-7=183\\\\\Rightarrow 2y=183+7\\\\\Rightarrow 2y=189\\\\\Rightarrow y=\dfrac{190}{2}\\\\\Rightarrow y=95.](https://tex.z-dn.net/?f=x%2By%3D183%5C%5C%5C%5C%5CRightarrow%20%28y-7%29%2By%3D183~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%5B%5Ctextup%7BUisng%20equation%20%28i%29%7D%5D%5C%5C%5C%5C%5CRightarrow%202y-7%3D183%5C%5C%5C%5C%5CRightarrow%202y%3D183%2B7%5C%5C%5C%5C%5CRightarrow%202y%3D189%5C%5C%5C%5C%5CRightarrow%20y%3D%5Cdfrac%7B190%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%20y%3D95.)
From equation (i), we get

Thus, Dakota scored 88% in math test.