Ashleys math average decreased 12 points to 78 then she completed an extra credit assignment and raised her final average by 5 points.Write an equation to show how ashleys average changed

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31-12-2023
Mathematics

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Ashleys math average decreased 12 points to 78 then she completed an extra credit assignment and raised her final average by 5 points.Write an equation to show how ashleys average changed

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guptayashasvi0 guptayashasvi0 · Answer 1 · 2023-12-31T12:57:07+01:00

Let's denote Ashley's original average as
x
x. After her average decreased by 12 points, her new average became
x
−
12
x−12. After completing the extra credit assignment, her final average increased by 5 points, resulting in a final average of
(
x
−
12
)
+
5
(x−12)+5.

The equation representing this situation is:

(
x
−
12
)
+
5
=
78
(x−12)+5=78

This equation states that Ashley's final average, after the decrease and increase, is equal to 78. Now, you can solve this equation to find the original average,
x
x.