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

Answer:

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

Step-by-step 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,

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

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

$\Rightarrow 40x=80$

$\Rightarrow x=\frac{80}{40}$

$\Rightarrow x=2$

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

After $2$ weeks, Jason will have $100+25\times 2=100+50=150$ dollars.

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