- #1

k1point618

- 25

- 0

here are several problems that i found while practicing for AMC 10, really wish someone can give a thorough explanation of how they are to be solved. The answers are at the end.

22) One morning each member of Angela's family drank an 8-ounce mixture of coffee with milk. The amounts of coffee and milk varied from cup to cup, but were never zero. Anegla drank a qarter of the total amount of milk and a sixth of the totalamount of coffee. How many people are in the family?

a)3 b)4 c)5 d)6 e)7

23) When the mean, median and moode of the list:

10, 2, 5, 2, 4, 2, x

are arranged in increasing order, they form a "non-constant arithmetic progressions". What is the sum of all possible real value of x?

a)3 b)6 c)9 d)17 e)20

*also would you please explain non-constant arithmetic progression? I think i have some confusion on that THANK YOU

24) Lef f be a function ofr which f(x/3) = x^2 + x + 1. Find the sum of all values of z for which f(3z) = 7

a) -1/3 b) -1/9 c)0 d) 5/9 e) 5/3

this problem i tried to solve. since 3z is to be plugged into f(x/3) then it can be written as f(3z/3) = f(z) = 7 = x^2 + x + 1; i solved that and got -1/3 (a), but i don't think it is correct.

The answers to the problems: 22:(c) 23:(e) 24:(b)