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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?

Dakotas 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 class=

Sagot :

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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]