QuestionBen is saving money to buy an Xbox One that costs including tax. He opens a savings account with a deposit of and deposits each week after mowing lawns. What is the minimum number of weeks Ben will need to make deposits until he has enough money in his account to buy the Xbox?
Ben will have enough money to pay for the Xbox after at least weeks.
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Studdy Solution
STEP 1
1. The cost of the Xbox One S is 75 into his savings account.
3. Ben deposits an additional $55 each week.
4. We need to find the minimum number of weeks required for Ben to save enough money to buy the Xbox.
STEP 2
1. Define a variable for the number of weeks.
2. Write an inequality to represent the situation.
3. Solve the inequality for the number of weeks.
STEP 3
Define a variable for the number of weeks. Let represent the number of weeks Ben deposits $55.
STEP 4
Write an inequality to represent the situation. The total amount of money Ben saves is the sum of his initial deposit and the weekly deposits. This should be at least $323.
STEP 5
Solve the inequality for the number of weeks.
Subtract 75 from both sides to isolate the term with :
Divide both sides by 55 to solve for :
Since must be a whole number (as Ben cannot work a fraction of a week), round up to the nearest whole number:
Ben will need to deposit money for at least weeks to have enough to buy the Xbox.
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