Jored and Sundai each want to buy a new HD movie player. They go to Electronic Superstore and find a HD movie player for $75.00. Electronics Superstore offers different payment plans. Jored is going to pay $15 now and then $7.50 per month. Sundai is going to pay $12.50 per month. Write and solve for each plan to show how many months it will take each person to pay the $75.00 for the HD movie player.
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For Jored:
Total cost of the HD movie player = $75.00
Amount paid initially = $15.00
Remaining amount to be paid = $75.00 - $15.00 = $60.00
Payment per month = $7.50
Number of months required to pay off the remaining amount = $60.00 / $7.50 = 8 months
Therefore, it will take Jored 8 months to pay the $75.00 for the HD movie player.
For Sundai:
Total cost of the HD movie player = $75.00
Payment per month = $12.50
Number of months required to pay the total cost = $75.00 / $12.50 = 6 months
Therefore, it will take Sundai 6 months to pay the $75.00 for the HD movie player.
To find out how many months it will take each person to pay off the $75.00 for the HD movie player, let's start by calculating Jored's payment plan.
Jored is paying $15.00 up front and then $7.50 per month. We can represent this as an equation:
15 + 7.50x = 75
To solve for x (the number of months), we need to isolate it on one side of the equation. Let's subtract 15 from both sides:
7.50x = 75 - 15
7.50x = 60
Now, divide both sides of the equation by 7.50:
x = 60 / 7.50
x = 8
So, it will take Jored 8 months to pay off the $75.00 for the HD movie player.
Now let's move on to Sundai's payment plan.
Sundai is paying $12.50 per month. We can represent this as an equation:
12.50x = 75
To solve for x (the number of months), let's divide both sides of the equation by 12.50:
x = 75 / 12.50
x = 6
So, it will take Sundai 6 months to pay off the $75.00 for the HD movie player.
Jored: 15 + 7.50 x = 75.00
Sundai: 12.50 x = 75.00
Now just solve for x in both cases