Question

Jose is saving for a new bike. He already has $125. If he saves $25 of his allowance per week, how many weeks must he wait to save at least $600 to cover tax and delivery fees?

Make sure to answer each part of the question and follow (copy and paste) the format below. Do not forget to define your variable. Use the equation editor when needed.
Find/Unknown (3 pts):
Equation (3pts):
Solve (3 pts):
Answer (3 pts):

Answer 1

To find out how many weeks Jose needs to wait to save at least $600 for a new bike, we use the equation $125 + $25w ≥ $600. Solving this, we find that Jose must save for at least 19 weeks.

Step-by-step explanation:

To determine how many weeks Jose must save to have at least $600 for a new bike, we can set up an equation where w represents the number of weeks he needs to save.

Find/Unknown:

Total amount Jose needs to save: $600

Current savings: $125

Amount saved per week: $25

Unknown:

Number of weeks, w, to save at least $600.

Equation:

Jose's total savings after w weeks will be his current savings plus the amount saved per week times the number of weeks. We set this equal to $600:
$125 + $25w ≥ $600

Solve:

Subtract $125 from both sides of the equation:
$25w ≥ $475
Now, divide both sides by $25 to solve for w:
$w ≥ 19

Answer:

Jose must wait at least 19 weeks to save enough money for the bike.