Question

Jenna has two test grades of 83, four grades of 86, and 3 grades of 92 on her first nine math tests. Her final exam will be weighted as three test grades.Write an equation in terms of the variable “x” that shows that Jenna’s final grade for the term will be an “88.”What grade will Jenna need to get on the final test to receive an 88 for the term?

Answer 1

Okay, here we have this:

Considering the provided information we obtain the following equation:

We are going to add all the notes obtained, and finally we will divide them by the number of notes to obtain the average, which must be equal to 88 according to the statement.

(83*2+86*4+92*3+x*3)/12=88 (Where x, represents the final exam grade)

Let's simplify the expression a bit:

(786+3x)/12=88

Now, let's solve for x, to find what grade will Jenna need to get on the final test to receive an 88 for the term:

`\begin{gathered} (\left(786+3x\right))/(12)=88 \\ (12\left(786+3x\right))/(12)=88\cdot\: 12 \\ 786+3x=1056 \\ 3x=270 \\ x=90 \end{gathered}`

Finally we obtain that she needs get a 90 on the final test to receive an 88 for the term.