Problema Solution

Judy has $20 nd is saving at a rate of $6 per week. Ida has $172 and is spending at a rate of 4$ per week. After how many weeks will they each have the same amount of money?

Answer provided by our tutors

let 'x' be the number of weeks after they each have the same amount of money

after x weeks Judy will have: 20 + 6x

after x weeks Ida will have: 172 + 4x

after x weeks they will have the same amount of money that is

20 + 6x = 172 + 4x

by solving we find

x = 76 weeks

Please see the mistake and correct. 2nd statement should be 172-4x because money is taken out of the piggybank.

Answer provided by our tutors

Let 'x' be the number of weeks after they each have the same amount of money

After x weeks Judy will have: 20 + 6x

After x weeks Ida will have: 172 - 4x (since the money is taken out of the piggy-bank)

After x weeks they will have the same amount of money that is

20 + 6x = 172 - 4x

by solving we find

x = 15.2 weeks

Since the number of weeks needs to be integer we conclude that Judy and Ida will never have the same amount of money.