exam Maths Puzzle Numerical Ability

Two classes, one with 50 students and the other with 30, take the same exam. The combined average of both classes is 84.5. If the larger class averages 80, what is the average of the smaller class?

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exam Other Question

A grocer wants to mix peanuts and cashews to produce 20 lb of mixed nuts worth $6.20/lb. How many pounds of each nut should she use if peanuts cost $4.80/lb and cashews cost $8/lb? I am helping my daughter but this is beyond me. Someone please help.

Use properties of logarithms to expand the logartihmic expression as much as possible.

log c x^7 (the c is positioned below the log)