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 xx represent the number of weeks needed to save $500.

The teenager saves $25 per week, so after xx weeks, they will have saved 25x25x dollars.

We set up the equation: 25x=50025x = 500

Now, solve for xx:

  1. Divide both sides by 25: x=50025x = \frac{500}{25}

  2. Calculate: x=20x = 20

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:

  1. What if the teenager increases their savings to $30 per week?
  2. How much would they have saved after 10 weeks?
  3. If they wanted to reach their goal in 15 weeks, how much would they need to save each week?
  4. How many weeks would it take to save $750 at the same weekly savings rate?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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