Question

Hank has more money than Joe and Al combined. Joe has exactly twice as much money as Al. Al has more money than Steve. Hank has exactly four times as much money as Steve. None of the boys have more than 18tf. The total amount of money the fours boys have is ____ cents.

Answer 1

j = 2a
h > j+a , h > 3a or a < (1/3)h
h = 4s
a > s

assuming that all the monies are whole numbers
from h = 4s, we know h must be a multiple of 4,

h: 4, 8, 12, 16 , remember h ≤ 18
s: 1, 2, 3, 4

a < (1/3)h

a < 5
a = 1, 2, 3, 4
j = 2, 4, 6, 8

cases:
h s a j
12 3 1 2
12 3 2 4
12 3 3 6
12 3 4 8

none of these cases seem to fit our conditions

What is the meaning of 18tf ??
I just read it as 18 units of money

Answer 2

cents*