If A, B, and C are the digits of the base-five number ABC, which is equal to the base-10 number 47,what does digit B represent?

MacTyBoys Dec 26, 2018

#1**+2 **

We can convert 47 base 10 into base 5. This probably isn't the best way to do it but this is the easiest for me...

_ _ _

25 5 1

how many 25's fit into 47? just 1.

__1__ _ _

25 5 1

47 - 25 = 22 so there is 22 left.

how many 5's fit into 22? 4.

__1__ __4__ _

25 5 1

22 - 20 = 2 so there is 2 left.

how many 1's fit into 2? 2.

__1__ __4__ __2__

25 5 1

47 base 10 = 142 base 5

B = 4

hectictar Dec 26, 2018