Question

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A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 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 1

Answer:

five days. Find the fixed charge and the charge for each extra day.

No spam ✖️

No copy and paste answer ✖️

( don't give irrelevant answer for points )

spam = 20 Answer report .( Be aware )

n

Answer 2

$\huge\underbrace\mathfrak\color{lime}{ †\: Question:–}$

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day

$\huge\underbrace\mathfrak\color{lime}{ †\: Answer:–}$

Let the fixed charge for 3 days be = x

Additional charge each day = y

According to the problem ;

Saritha paid Rs. 27 for a book kept for seven days . Susy paid Rs. 21 for the book she kept for five days

$~~~~~~~~~~~~~~~x + 4y = 27$ ----(1)

$~~~~~~~~~~~~~~~x + 2y = 21$----(2)

$~~~~~~~~~~~~(-)~(-)~~=(-)$

$\:\;\:\:\:\:\:\:\:\:\:\:\: ------------$

$~~~~~~~~~~~~~~~~~~2y = 6$

$\:\;\:\:\:\:\:\:\:\:\:\:\:------------$

$~~~~~~~~~~~~\longrightarrow$$\bold{2y = 6}$

$~~~~~~~~~~~~\longrightarrow$$\bold{y = \frac{6}{2}}$

$~~~~~~~~~~~~\huge\longrightarrow$$\bold{y = 3}$

$~~~~~~~~~~~~~ \:Substitute \:y = 3 \:in \:eq(1)$

$~~~~~~~~~~~~~\longrightarrow$$\bold{x + 4y = 27}$

$~~~~~~~~~~~~~\longrightarrow$$\bold{x + 4(3) = 27}$

$~~~~~~~~~~~~~\longrightarrow$$\bold{x + 12 = 27}$

$~~~~~~~~~~~~~\longrightarrow$$\bold{x = 27 - 12}$

$~~~~~~~~~~~~~\huge\longrightarrow$$\bold{x = 15}$

Fixed charge for 3 days is $15

Additional charge for each day is $3