Math Problem Statement

Make it into a equation

Last summer I mowed lawns and earned a fee of $10 per lawn plus $12 per hour. If I mowed 4 lawns today and earned $136, how many hours did I mow?

Solution

The question you provided is:

Last summer I mowed lawns and earned a fee of $10 per lawn plus $12 per hour. If I mowed 4 lawns today and earned $136, how many hours did I mow?

Let's set up the equation:

  • You earned $10 per lawn.
  • You earned $12 per hour.
  • You mowed 4 lawns today.
  • You earned $136 in total.

Let h represent the number of hours you mowed.

The total money earned is the sum of the money from mowing the lawns and the money from the hours worked. The equation can be written as:

10×4+12×h=13610 \times 4 + 12 \times h = 136

Explanation:

  • 10×410 \times 4 represents the money you earned from mowing 4 lawns.
  • 12×h12 \times h represents the money you earned from the hours worked.
  • The total earnings are equal to 136.

Now you can solve this equation to find h (the number of hours you mowed). Would you like me to solve it for you, or would you like to try it yourself?

5 Related Questions:

  1. How would the equation change if you mowed 5 lawns instead?
  2. What if the hourly rate increased to $15, how would you adjust the equation?
  3. If you earned $160 for mowing 4 lawns and working 5 hours, how would you write the equation?
  4. Can you express how much you earned per hour in terms of lawns mowed?
  5. How would the equation change if you also had an initial fee of $20?

Tip:

When setting up equations from word problems, clearly identify each component and convert it into mathematical terms step by step.

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

10 * 4 + 12 * h = 136

Theorems

Basic algebraic manipulation

Suitable Grade Level

Grades 6-8