Question

You want to buy the bicycle that is $116. You already have $43.50 saved and plan to save an additional $7.25 every week.

Part A: Write and solve an equation to find the number of weeks you need to save before you can purchase the bicycle.

Part B: How much sooner could you purchase the bicycle is you had a coupon for $20 off and saved $8.75 every week? Explain your reasoning. 

PLEASE HELP! I'M IN 7th GRADE...AND I NEED TO GET MY MATH HOME WORK DONE, AND MY PARENTS AR'NT HOME TO HELP MEE..THANK YOU!

Answer 1

To afford a $116 bicycle, one would need to save for about 10 weeks with a $7.25 weekly saving after starting with $43.50. However, with a $20 coupon and saving $8.75 a week, the bicycle could be purchased in approximately 6 weeks, about 4 weeks sooner.

Step-by-step explanation:

Part A

To calculate the number of weeks you need to save to buy the bicycle, you can set up the following equation:

43.50 + 7.25w = 116

Where w represents the number of weeks. Subtract 43.50 from both sides of the equation:

7.25w = 116 - 43.50

7.25w = 72.5

Now, divide both sides by 7.25 to solve for w:

w = 72.5 / 7.25

w ≈ 10

You would need to save for approximately 10 weeks to be able to purchase the bicycle.

Part B

With a $20 off coupon, the new price of the bicycle is $116 - 20 = $96. Using the equation:

43.50 + 8.75w = 96

Subtract 43.50 from both sides:

8.75w = 96 - 43.50

8.75w = 52.5

Divide both sides by 8.75:

w = 52.5 / 8.75

w ≈ 6

You would be able to purchase the bicycle approximately 4 weeks sooner, because with the increased savings rate and the $20 discount, the total number of weeks needed is reduced.

Answer 2

A. since you already have $43.50 already saved you subtract that from the amount the bike cost so you can see how much more needs to be left to save and that gives you $72.50. Then you divide the amount your saving up every week from that. So $72.50 divided by $7.25 is 10 and thats how many weeks it will take to save.

B. Since you still have that $43.50 saved and you have a coupon for $20 dollars off . Add those together to see how much you have saved up which equals $63.50. The bike is $116 so you subtract the amount you have for the bike from $116 which is $63.50 and that equals $52.50 and thats how much more money you need. Then divide how much money needed by the amount your saving up a week, which is $8.75. So $52.50 divided by $8.75 is 6 and thats how many weeks it will now take to get the bike.