Problema Solution

Lupe emptied her bank and has

144 pennies and 121 nickels. Write

each of these numbers using a base

and an exponent. For the pennies use

12 as the base. For the nickels use 11

as the base.

Answer provided by our tutors

144 pennies with a base of 12:

144 = 12^x

144 / 12 = 12^(x - 1)

12 = 12^(x - 1)

x - 1 = 1

x = 2

144 = 12^2

 

121 nickels with a base of 11:

121 = 11^x

121 / 11 = 11^(x - 1)

11 = 11^(x - 1)

x - 1 = 1

x = 2

121 = 11^2