Question

Jayden has $100 and saves $25 per week. Liv has $180 and spends $15 per week. How many weeks until they have the same amount of money? How much money do they both have

Answer 1

Both of them will have the amount of money after
`2` weeks and both of them have
`\$\: 150`.

Explanation:

Jayden has $100 and saves $25 per week.

Liv has $180 and spends $15 per week.

Let both of them have the same amount of money after
`x` weeks.

According to the question,

`\Rightarrow 100+25x=180-15x`

`\Rightarrow 25x+15x=180-100`

`\Rightarrow 40x=80`

`\Rightarrow x=(80)/(40)`

`\Rightarrow x=2`

So, both of them will have the amount of money after
`2` weeks.

After
`2` weeks, Jason will have
`100+25* 2=100+50=150` dollars.

Hence, both of them will have the amount of money after
`2` weeks and both of them have
`\$\: 150`.