Math Problem Statement
A teenager wants to save $500 to buy a phone. If they save $25 per week, write and solve an equation to find how many weeks it will take to reach their goal.
Solution
Let represent the number of weeks needed to save $500.
The teenager saves $25 per week, so after weeks, they will have saved dollars.
We set up the equation:
Now, solve for :
-
Divide both sides by 25:
-
Calculate:
So, it will take 20 weeks for the teenager to save $500.
Would you like a further breakdown of this solution, or do you have any other questions?
Here are some related questions that might interest you:
- What if the teenager increases their savings to $30 per week?
- How much would they have saved after 10 weeks?
- If they wanted to reach their goal in 15 weeks, how much would they need to save each week?
- How many weeks would it take to save $750 at the same weekly savings rate?
- If they receive an extra $50 from a gift, how would that affect the time needed?
Tip: When solving word problems, clearly define your variables and set up an equation based on the information given.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Savings equation: amount saved = weekly savings * number of weeks
Theorems
Basic principles of linear equations
Suitable Grade Level
Grades 6-8
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