Let x represent Holly's score on 7th math quiz.
We have been given that the mean of Holly's first six math quiz scores was 75%. This means that the average on 1st 6 math quizzes is 75.
To find the total scores on 1st 6 math quizzes, we will multiply 75 by 6 that is
.
We will use average formula to find test scores on 7th math quiz.


Let us solve for x.





Therefore, Molly's score on the 7th math quiz was 89.
Sarah sold 66 posters
<em><u>Solution:</u></em>
Let "a" be the number of shirts sold
Let "b" be the number of posters sold
<em><u>Sarah sold a total of 178 t shirts and posters at a festival</u></em>
Therefore,
number of shirts sold + number of posters sold = 178
a + b = 178 ----------- eqn 1
<em><u>She sold 46 more tshirts than poster</u></em>
Number of shirts sold = 46 + number of posters sold
a = 46 + b --------- eqn 2
<em><u>Substitute eqn 2 in eqn 1</u></em>
46 + b + b = 178
2b = 178 - 46
2b = 132
b = 66
Thus she sold 66 posters