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.​​

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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