Three brothers, Jake, Seth and Matt, are training for a hike. If x represents the number of miles that Matt hikes, use the following information to write the required expressions and equation. Then, solve to determine the number of miles that Matt hiked.
Jake hiked three less than twice the number of miles as Matt. The expression that represents the number of miles that Jake hiked is?
.
Seth hiked seven less than four times the number of miles as Matt. The expression that represents the number of miles that Seth hiked is?
.
Jake and Seth hiked the same number of miles. The equation that represents this relationship is?
.
How many miles did Matt hike?
The expression that represents the number of miles that Jake hiked is 2x - 3.
The expression that represents the number of miles that Seth hiked is 4x - 7.
The equation that represents the relationship between Jake and Seth is 2x - 3 = 4x - 7.
To solve this equation, we will first subtract 2x from both sides to isolate the variable: -3 = 2x - 7.
Next, we will add 7 to both sides: 4 = 2x.
Finally, we will divide both sides by 2 to solve for x: x = 2.
Therefore, the number of miles that Matt hiked is represented by x, which is equal to 2.