The mean of eight positive values is 95. If the first value is two-thirds of the sum of the remaining seven values, what is the average of the last seven values?

The total sum of the eight values is 95 times 8, or 760. Let the sum of the last seven values be y, so the first value is two-thirds of y, and the equation is two-thirds of y plus y equals 760, which gives 5y divided by 3 equals 760. Solving for y gives 456, and the average of the last seven values is 456 divided by 7, which is approximately 65.14.

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