### Instruction: Emily's quiz scores so far are: 92, 95, 87, 89 and 100. What score does she need to get on the sixth quiz to make the arithmetic mean of the six scores equal 93?### Response: To find the arithmetic mean of six numbers, I need to add them up and divide by six.
So I want to find a number x that satisfies the equation: (92 + 95 + 87 + 89 + 100 + x)/6 = 93.
To solve for x, I can multiply both sides by six and then subtract the sum of the other five scores from both sides.
That gives me: x = 6 * 93 - (92 + 95 + 87 + 89 + 100).
Simplifying, I get: x = 558 - 463 = 95.