Question

Leyna has 325 and plans to save 20 per week. Jonas has 450 but spends 5 per week. At how many weeks will Leyna and Jonas have the same amount of money?

A) 8 weeks
B) 13 weeks
C) 16 weeks
D) 18 weeks

Answer 1

Leyna and Jonas will have the same amount of money after 5 weeks. We determine this by setting up equations for each person's amount of money over time and solving for the week number when the amounts are equal.

Step-by-step explanation:

The question asks when Leyna and Jonas will have the same amount of money if Leyna starts with $325 and saves $20 per week, while Jonas starts with $450 and spends $5 per week. To find when they will have the same amount, we can set up an equation representing each person's amount of money over time, where t represents time in weeks.

Leyna's amount: 325 + 20t

Jonas' amount: 450 - 5t

We set these two expressions equal to each other to find the value of t at which their amounts will be the same:

325 + 20t = 450 - 5t

Adding 5t to both sides gives us:

325 + 25t = 450

Next, we subtract 325 from both sides:

25t = 125

To find t, we divide both sides by 25:

t = 5

Therefore, Leyna and Jonas will have the same amount of money after 5 weeks.