Write an equation using x and y for Judy and Ida.

Algebra
Tutor: None Selected Time limit: 1 Day

Judy has $20 and is saving at a rate of $6 per week.  Ida has $32 and is spending at a rate of $4 per week.  After how many weeks will each have the same amount of money?

Write an equation using x and y for Judy and Ida.

Oct 18th, 2015

Thank you for the opportunity to help you with your question!

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Let the number of weeks be represented by x

and the amount of money left with them be represented by y.


Judy has $20 and is saving at a rate of $6 per week.

Since Judy saves $6 each week. After x weeks Judy would have saved $6x. So total amount of money left with Judy after x weeks can be written as  

y = 20 + 6x


Ida has $32 and is spending at a rate of $4 per week.

Since Ida spends $4 each week. After x weeks Ida would have spent $4x. So total amount of money left with Ida after x weeks can be written as  

y = 32 - 4x


To find the number of weeks it will take each to have the same amount of money, equate the RHS(right hand side) of the two equations.

20 + 6x = 32 - 4x

6x + 4x = 32 - 20

10x = 12

x = 12/10

x = 1.2 weeks


So after 1.2 weeks both of them will have the same amount of money.

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Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 18th, 2015

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Oct 18th, 2015
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