Jackson has saved $174. He wants to purchase an electric dirt bike that costs $459.

Question

If he saves $15 each week from the money, he earns doing yard work and another $4 each week from his allowance, how many weeks will it take Jackson to save enough money to buy the bike?
O13 weeks
14 weeks
15 weeks
16 weeks

Answer 1

To determine how many weeks it will take Jackson to save enough money to buy the electric dirt bike, we first need to find out how much additional money he needs and how much he saves each week.

1. Calculate the amount of money Jackson needs:

   • Cost of the bike: $459
   • Amount saved so far: $174
   • Additional amount needed: \[ 459 - 174 = 285 \]

2. Calculate Jackson's weekly savings:

   • Savings from yard work per week: $15
   • Savings from allowance per week: $4
   • Total savings per week: \[ 15 + 4 = 19 \]

3. Calculate how many weeks he needs to save the additional amount:

   • Let \( w \) be the number of weeks needed.
   • Total amount saved after \( w \) weeks: \[ 19w \]
   • We need to find \( w \) such that: \[ 19w = 285 \]
   • Solving for \( w \): \[ w = \frac{285}{19} \approx 15 \]

Jackson would need approximately 15 weeks to save the additional amount needed to purchase the bike.

So, the answer is 15 weeks.