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Math short answer help!!!? Dakota's math test grade was 7 points less than his science test grade . the sum of the grades was 183% what did Dakota get on his math test??

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Math short answer help!!!? Dakota's math test grade was 7 points less than his science test grade . the sum of the grades was 183% what did Dakota get on his math test??
88%
User Martin Brabec
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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=(190)/(2)\\\\\Rightarrow y=95.

From equation (i), we get


x=95-7=88.

Thus, Dakota scored 88% in math test.

User Jlam
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