Question

Jocelyn wants to ride her bicycle 17 miles this week. She has already ridden 5 miles. If she rides for 3 more days, write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.

Answer 1

Equation: 5x+14=375x+14=37

Answer: x = 4.6x=4.6

Explanation:

5\color{red}{x}+\color{blue}{14}=

5x+14=

\,\,\color{purple}{37}

37

-\color{blue}{14}\phantom{=}

−14=

\,\,-\color{blue}{14}

−14

Subtract 14 from both sides

5\color{red}{x}=

5x=

\,\,23

23

\frac{5\color{red}{x}}{5}=

5

5x

​

=

\,\,\frac{23}{5}

5

23

​

Divide both sides by 5

\color{red}{x}=

x=

\,\,\boxed{4.6}

4.6

​

Answer 2

3x+5=17

x=4

There you go :)