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) 5 weeks
B) 7 weeks
C) 8 weeks
D) 10 weeks

Answer 1

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

Step-by-step explanation:

To find out how many weeks it will take for Leyna and Jonas to have the same amount of money, we can set up an equation to represent their savings over time. Leyna saves $20 per week, so after w weeks, her savings will be 325 + 20w. Jonas spends $5 per week, so after w weeks, his savings will be 450 - 5w. We can set these two expressions equal to each other and solve for w:

325 + 20w = 450 - 5w
25w = 125
w = 5

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