Bot GPT 4-o mini To determine how many weeks Langston will need to save enough money to buy the guitar, we first need to calculate the total cost of the guitar, including sales tax.
-
Calculate the sales tax: The cost of the guitar is $200, and the sales tax is 7%. We can calculate the total cost using the formula: \[ \text{Total cost} = \text{Cost} + (\text{Cost} \times \text{Sales Tax}) \] \[ \text{Total cost} = 200 + (200 \times 0.07) = 200 + 14 = 214 \]
-
Determine how much more Langston needs: Langston currently has $62, so the amount he still needs is: \[ \text{Amount needed} = \text{Total cost} - \text{Current amount} \] \[ \text{Amount needed} = 214 - 62 = 152 \]
-
Calculate how much Langston saves each week: Langston makes $22 per week but saves half of that for college. Thus, the amount he saves for the guitar each week is: \[ \text{Savings per week} = \frac{22}{2} = 11 \]
-
Calculate the number of weeks required to save enough: To find out how many weeks it will take Langston to save $152, we use: \[ \text{Weeks needed} = \frac{\text{Amount needed}}{\text{Savings per week}} \] \[ \text{Weeks needed} = \frac{152}{11} \approx 13.82 \]
Since Langston can only save in whole weeks, we round up to the next whole week, which means he will need 14 weeks.
Thus, the answer is 14 weeks.
1 answer