Hi Jordan. Lets break this problem down into steps.
Step 1: Select a variable that represents the number of weeks Sue has to save up until she has 400 dollars.
We should let w represent the number of weeks Sue has to save up until she has 400 dollars.
Step 2: Write an equation that represents the situation
The equation we will write is 50 + 25w = 400, where:
50 is the initial amount sue has in her account
25 is how much she plans to save each week until she has 400 dollars
w is the number of weeks Sue has to save up until she has 400 dollars
400 is how much Sue wants to have after saving 25 dollars each week for w weeks.
Step 3: Solve the equation for w.
50+ 25w = 400
25w= 350; subtracted 50 from both sides of the equation
25/25 w= 350/25; divided by 25 on both sides of the equation to obtain value of w
w = 14 weeks
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