Steven wants to buy a "$590" bicycle. Steven has no money saved, but will be able to deposit $35 into a savings account when he receives his paycheck each Friday. However, before steven cab buy the bike, he must give his sister $75 that he owes here. For how many weeks will Steven need to eposit money into his savings account before he can pay back his sister and buy the bike?
A. 20 weeks
B. 19 weeks
C. 22 weeks
D. 18 weeks
First, let's subtract the amount Steven owes his sister from the cost of the bike: $590 - $75 = $<<590-75=515>>515.
Next, let's divide the remaining cost by the amount Steven can deposit each week: $515 / $35 = <<515/35=14.714285714285714>>14.71.
Since Steven cannot deposit a partial amount, we round up to the nearest whole number to determine how many weeks it will take for him to save enough money: 15 weeks.
However, since Steven intends to deposit money when he receives his paycheck each Friday, we need to calculate the number of Fridays in 15 weeks: 15 weeks / 7 days = 2.14 weeks.
Again, we round up to the nearest whole number, so Steven will need to deposit money for a total of 18 weeks (D) before he can pay back his sister and buy the bike.
To determine how many weeks Steven will need to deposit money into his savings account before he can pay back his sister and buy the bike, we can follow these steps:
1. Calculate the amount of money Steven needs to save to buy the bicycle after paying his sister: $590 + $75 = $665.
2. Calculate how much money Steven can save per week by depositing $35 every Friday.
3. Divide the total amount needed to buy the bicycle ($665) by the amount Steven can save per week ($35).
$665 / $35 = 19 weeks.
Therefore, Steven will need to deposit money into his savings account for 19 weeks before he can pay back his sister and buy the bike.
The correct answer is B. 19 weeks.
To find out how many weeks Steven needs to deposit money into his savings account before he can pay back his sister and buy the bike, we need to calculate the total amount of money he can save each week.
First, let's calculate how many weeks it will take for Steven to save $75, the amount he owes his sister.
Since Steven can deposit $35 into his savings account each Friday, we can calculate the number of weeks it will take to save $75 by dividing $75 by $35.
$75 / $35 ≈ 2.14 weeks
Since we can't have a fraction of a week, we need to round up to the next whole number because Steven can only make deposits once a week. So, it will take Steven 3 weeks to save $75.
Now, let's calculate the total amount of money Steven can save in 3 weeks.
$35 (deposit per week) x 3 (number of weeks) = $105
With $105 saved, Steven can now buy the bike, which costs $590. To calculate the remaining amount he needs to save, we subtract $105 from $590.
$590 (bike cost) - $105 (money saved) = $485
Finally, let's determine how many more weeks Steven needs to save in order to reach $485.
Since Steven saves $35 each week, we can divide $485 by $35 to find out the number of weeks needed.
$485 / $35 ≈ 13.86 weeks
Since we can't have a fraction of a week, we need to round up to the next whole number. So, it will take Steven an additional 14 weeks to save $485.
Now, let's calculate the total number of weeks needed for Steven to both pay back his sister and buy the bike.
3 weeks (to pay sister) + 14 weeks (to buy the bike) = 17 weeks
Therefore, Steven will need to deposit money into his savings account for a total of 17 weeks before he can pay back his sister and buy the bike.
The correct answer is not listed among the options provided.