A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹27 for a book kept for seven days, while Susy paid ₹21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
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Answer:
See the attachment.
Hope u understand
In the given question, 5₹ is the fixed charge and 3₹ is the charge for each extra day.
A fixed charge is a fee or cost that remains constant and does not vary with changes in usage or consumption.
Let the fixed charge for the first three days be x and the charge for each extra day be y.
From the given information, we can set up two equations:
For Saritha: [tex]\rm 3x + 4y = 27 -----(equation 1)[/tex]
For Susy: [tex]\rm 3x + 2y = 21 -----(equation 2)[/tex]
We can solve for x and y by using elimination or substitution:
Using elimination, we can multiply the second equation by 2 and subtract it from the first equation:
[tex]\rm 3x + 4y = 27[/tex]
[tex]\rm - (6x + 4y = 42)[/tex]
Solving above equations, we get:
[tex]\rm -3x = -15[/tex]
[tex]\rm x = 5[/tex]
Substituting x = 5 into one of the equations, we can solve for y:
[tex]\rm 3(5) + 4y = 27[/tex]
[tex]\rm 15 + 4y = 27[/tex]
[tex]\rm 4y = 12[/tex]
[tex]\rm y = 3[/tex]
Therefore, the fixed charge is ₹5 and the charge for each extra day is ₹3.
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Answer:
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