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The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the third quiz grade.

Verified Answer :

the answer is 18. I had an equation of 17=14+19+g over 3. I divided the 14+19 by 3. then subtracted 10.96 from both sides of the equation. then all was left was 6=g÷3. I multiplied 3 to both sides. 18= the grade. 18+14+19=51 51÷3=17.

Answer:

The third quiz grade is 18 points.

Step-by-step explanation:

It is given that the average of 3 quiz grades is 17 points.

First quiz grade = 14

Second quiz grade = 19

Let x be the third quiz grades.

Average formula:

\(Average=\frac{\sum x}{n}\)

Average of three quiz grade is

\(Average=\frac{14+19+x}{3}\)

\(17=\frac{14+19+x}{3}\)

\(17=\frac{33+x}{3}\)

Multiply both sides by 3.

\(17\times 3=33+x\)

\(51=33+x\)

Subtract 33 from both sides.

\(51-33=x\)

\(18=x\)

Therefore the third quiz grade is 18 points.

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