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

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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.
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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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