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


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indeed after 76 weeks Judy will have 20 + 6*76 = $476 and Ida will have also have the same amount 172 + 4*76 = $476.