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5. The video store has a basic charge for a 3 day rental and a different charge per day late fee. Nate returned his video one day late and paid $5.50, Gina was four days late and paid $10,00 for her rental. What is the basic fee and the per day late fee the store charges?solve for x and y

User Kuszi
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1 Answer

22 votes
22 votes

Problem

5. The video store has a basic charge for a 3 day rental and a different charge per day late fee. Nate returned his video one day late and paid $5.50, Gina was four days late and paid $10,00 for her rental. What is the basic fee and the per day late fee the store charges?

Solution

For this case we can use the following notation:

y = 3 day payment x = per-day late fee

And we can set up these equations:

x+y = 5.50

4x +y= 10.00

From the first equation we can solve for x and we got:

x= 5.50 -y

We can replace this into the second equation and we got:

4(5.50-y) +y= 10.00

If we distribute the terms we got:

22 - 4y + y= 10.00

And solving for y we got:

22-10 = 3y

y= 4

and then we can solve for x and we got:

x= 5.50-4= 1.50

So our final solution would be x =1.5 and y= 4.00

User Tushar Patel
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