In the base 6 number system, we would only use numerals
from 0 to 5. The idea of base 6 is just like the normal base 10 system, however
instead of using the numerals from 0 to 9, we use numerals from 0 to 5. And
instead of having a ones digit, a tens digit, a hundreds digit and so on, we
use a ones digit, a sixes digit, a thirty-sixes digit, and so on. Therefore in
base 6, the number 321 means 1 one plus
2 sixes plus 3 thirty-sixes, or 121. So to count until 15 for example, we would need:
Base 6
Base
10
1
1
2
2
3
3
4
4
5
5
10 (1 six plus 0
ones) 6
11 (1 six plus 1
one) 7
12 (1 six plus 2
ones) 8
13 9
14
10
15
11
20 (2 sixes plus 0
ones) 12
21 (2 sixes plus 1
one) 13
22
14
23
15
Let us say that:
x = the number of T shirts bought = 4
y = the number of leather jackets bought = 1
a = the price of the T shirts
b = the price of the leather jackets
With the given variables, we can say that the total cost
is:
total cost = a x + b y
Since, b = 6 a, therefore:
total cost = a x + 6 a y
total cost = a (x + 6 y)
Since total cost is 209, therefore we can calculate for a
since x and y are also given:
209 = a (4 + 6 * 1)
209 = a (10)
a = $20.9
<span>Therefore each T shirt cost $20.9</span>
