by Paula Austin
(Midland, North Carolina )
Shawn was training for a hot dog contest. He trained for 6 days and each day he ate 4 more hot dogs. At the end of 6 days he had ate 150 hot dogs. How many did he eat each day?
Let x be the amount of hot dogs he ate on day 1
On day 2, he ate x + 4
On day 3, he ate x + 4 + 4 = x + 8
On day 4, he ate x + 4 + 4 + 4 = x + 12
On day 5, he ate x + 4 + 4 + 4 + 4 = x + 16
On day 6, he ate x + 4 + 4 + 4 + 4 + 4 = x + 20
Amount on day 1 + amount on day 2 + amount on day 3 + amount on day 4 + amount on day 5 + amount on day 6 = 150
x + x + 4 + x + 8 + x + 12 + x + 16 + x + 20 = 150
6x + 60 = 150
6x + 60  60 = 150  60
6x + 0 = 90
6x = 90
6x/6 = 90 / 6
x = 15
So on day 1, he ate 15 hot dogs.
On day 2, he ate 19 hot dogs.
On day 3, he ate 23 hot dogs.
On day 4, he ate 27 hot dogs.
On day 5, he ate 31 hot dogs.
Finally, on day 6, he ate 35 hot dogs.
Indeed, 15 + 19 + 23 + 27 + 31 + 35 = 150
Comments for Solving a Hot Dog Word Problem with a Linear Equation






Apr 02, 19 05:34 PM
Learn about equivalent, benchmark, multiplying, dividing, adding and subtracting fractions
Basic math formulas
Algebra word problems
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Recommended
Scientific Notation Quiz
Graphing Slope Quiz
Adding and Subtracting Matrices Quiz
Factoring Trinomials Quiz
Solving Absolute Value Equations Quiz
Order of Operations Quiz
Types of angles quiz
Apr 02, 19 05:34 PM
Learn about equivalent, benchmark, multiplying, dividing, adding and subtracting fractions