On three examinations Dana received scores of 78, 91, and 76.
What score does Dana need on the fourth examination to raise his average to 85?

95

Step-by-step explanation:

Use the average formula:

Average = sum of elements / number of elements

Let x represent the score Dana has to get in order to have a 85, and plug in the values we know:

Average = sum of elements / number of elements

85 = (78 + 91 + 76 + x) / 4

Simplify:

85 = (245 + x) / 4

Multiply both sides by 4:

340 = 245 + x

95 = x

So, Dana needs to get a 95 on his next examination in order to raise his average to an 85

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step-by-step explanation: