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
\(x=y-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
and
\(x+y=183\\\\\Rightarrow (y-7)+y=183~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uisng equation (i)}]\\\\\Rightarrow 2y-7=183\\\\\Rightarrow 2y=183+7\\\\\Rightarrow 2y=189\\\\\Rightarrow y=\dfrac{190}{2}\\\\\Rightarrow y=95.\)
From equation (i), we get
\(x=95-7=88.\)
Thus, Dakota scored 88% in math test.
