A student earned scores of 85, 83, 90, 94, 88 and 84 on the first six tests in a biology class. What score is needed on the seventh test to produce an 86 average?
ok here
(524+x)/7 = 86
524+x = 602
x = 78
(85+83+90+94+88+84+x)/7 = 86
Do I add them together, have the answer and then divide by 7 ?
Thank you.
To find the score needed on the seventh test to produce an 86 average, we can use the following formula:
Average = (Sum of Scores) / (Number of Scores)
In this case, we have six test scores and we want to find the seventh score. Let's call the seventh test score "x". We can set up the equation as follows:
(85 + 83 + 90 + 94 + 88 + 84 + x) / 7 = 86
To solve for "x", we can follow these steps:
1. Multiply both sides of the equation by 7 to eliminate the denominator:
85 + 83 + 90 + 94 + 88 + 84 + x = 602
2. Simplify the equation:
424 + x = 602
3. Subtract 424 from both sides of the equation:
x = 602 - 424
4. Calculate the result:
x = 178
Therefore, a score of 178 is needed on the seventh test to produce an 86 average.