Question

Aaliyah currently has $30, and is earning $15 every day doing work around the neighborhood. Wyatt currently has $350, and he is spending $5 each day on snacks and other expenses. He doesn't have a job. After how many days will they have the same amount of money?

Answer 1

With the given information, we can make an equation, where "x" will be the number of days.

Since Aaliyah earns $15 per day, and currently has $30, in "x" number of days will have:

`30+15x`

For Wyatt, since he has $350, but he spends $5 per day, in "x" number of days he will have:

`350-5x`

Next, we need to equal this two expression to find the number of days when they will have the same amount of money:

`30+15x=350-5x`

Solving this equation for x:

Step 1. Add 5x to both sides:

`\begin{gathered} 30+15x+5x=350-5x+5x \\ 30+20x=350 \end{gathered}`

Step 2. Substract 30 from both sides:

`\begin{gathered} 30-30+20x=350-30 \\ 20x=320 \end{gathered}`

Step 3. Divide both sides by 20: